Finding the Fourth Proportional to 106,513,305.92, 159,779,055.36 and 37,420,107.20
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Solution
The fourth proportional to 106,513,305.92, 159,779,055.36 and 37,420,107.20 is: 56,133,356.56
Step by Step Solution
- Step 1: Write the proportion equation
106,513,305.92 : 159,779,055.36 = 37,420,107.20 : x - Step 2: Convert to fraction form
106,513,305.92/159,779,055.36 = 37,420,107.20/x - Step 3: Cross multiply
106,513,305.92x = 159,779,055.36 × 37,420,107.20 - Step 4: Simplify right side
106,513,305.92x = 5,978,949,379,885,936 - Step 5: Solve for x
x = 5,978,949,379,885,936/106,513,305.92 - Step 6: Final answer
x = 56,133,356.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.