I had a 150 on a crappy 75 year old house with wood floors, I made sure to span the floor joist and had no problem. Even with a 1000 lbs of fishing buddies looking at it standing right in front...
Right now I have a 225 setting on a metal stand with all the weight concentrated on 36 sq inches, (4 - 3"x3" metal pads).
If you are unsure then double the floor joists with 2" x 6"s and support them with pier blocks and 4x4 risers...you'll get a tad of flex but that is the floor system working. Without knowing exactly what you have it is hard to tell ya...If the house is of current building practices then you'll be fine.
Figure out the total weight of the tank and goodies, and divide the weight with the actual area that touches the floor. This will give you a "PSI" pound per square inch figure and you'll see it isn't as drastic as it may seem.
If all else fails put it in the basement to start...
1/8"!!?! how can you tell the floor even moved that much?, Hell, I flex a wood joist floor 1/8" when I walk on them...