Finding the Fourth Proportional to 205,121,242.81, 283,067,185.17 and 112,301,726.05
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Solution
The fourth proportional to 205,121,242.81, 283,067,185.17 and 112,301,726.05 is: 154,976,310.83
Step by Step Solution
- Step 1: Write the proportion equation
205,121,242.81 : 283,067,185.17 = 112,301,726.05 : x - Step 2: Convert to fraction form
205,121,242.81/283,067,185.17 = 112,301,726.05/x - Step 3: Cross multiply
205,121,242.81x = 283,067,185.17 × 112,301,726.05 - Step 4: Simplify right side
205,121,242.81x = 31,788,933,482,705,964 - Step 5: Solve for x
x = 31,788,933,482,705,964/205,121,242.81 - Step 6: Final answer
x = 154,976,310.83
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.