Finding the Fourth Proportional to 106,083,502.66, 159,125,298.10 and 47,723,013.46
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Solution
The fourth proportional to 106,083,502.66, 159,125,298.10 and 47,723,013.46 is: 71,584,540.03
Step by Step Solution
- Step 1: Write the proportion equation
106,083,502.66 : 159,125,298.10 = 47,723,013.46 : x - Step 2: Convert to fraction form
106,083,502.66/159,125,298.10 = 47,723,013.46/x - Step 3: Cross multiply
106,083,502.66x = 159,125,298.10 × 47,723,013.46 - Step 4: Simplify right side
106,083,502.66x = 7,593,938,743,052,812 - Step 5: Solve for x
x = 7,593,938,743,052,812/106,083,502.66 - Step 6: Final answer
x = 71,584,540.03
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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.