Matěj had six different natural numbers written on a line in his notebook. The second of them was double the first, the third was double the second, and similarly, each subsequent number was double the previous one. Matěj copied all these numbers into the following table, in random order, one number per cell.

![](https://cdn.mathpix.com/cropped/2024_04_17_b3bac5a705eebcae18d0g-2.jpg?height=189&width=288&top_left_y=1756&top_left_x=884)

The sum of the two numbers in the first column of the table was 136, and the sum of the numbers in the second column was double that, i.e., 272. Determine the sum of the numbers in the third column of the table.

(L. Šimünek)