In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[113.902, 34.506, -40.153, -89.472, 14.588, -37.564, 92.517, -81.109]
[ 15.787   4.783  -5.565 -12.401   2.022  -5.206  12.823 -11.242]

[11.893, 122.938, -45.515, -59.484, 12.016, 148.604, -47.662, -94.215, 161.234, 195.023]
[ 0.029  0.304 -0.112 -0.147  0.03   0.367 -0.118 -0.233  0.398  0.482]

[159.655, 222.602, -45.684, 26.959, -97.798, 84.5, -10.508]

[ 0.47   0.655 -0.134  0.079 -0.288  0.249 -0.031]

