Draw a picture. Two shafts horizontal.
Label one 100 grains ( 50 and 50, each side of balance point). Label the other 200 ( 100 and 100, each side of balance point).
Add a triangle weight on one end of each. 200 grains. Don't move anything yet. That makes one arrow 50 grains on one side, 250 on the other ( 1/5 ratio). The heavier arrow is 100 grains one side to 300 on the other (1/3 ratio).
Moving the fulcrum, as you can now see, to the spot where both sides are again balanced, means the light shaft moves closer to the point than the heavier shaft.
At least... I think so.