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Finding the Fourth Proportional to 181,220.73, 271,761.87 and 59,613

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Solution

The fourth proportional to 181,220.73, 271,761.87 and 59,613 is: 89,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,220.73 : 271,761.87 = 59,613 : x
  2. Step 2: Convert to fraction form
    181,220.73/271,761.87 = 59,613/x
  3. Step 3: Cross multiply
    181,220.73x = 271,761.87 × 59,613
  4. Step 4: Simplify right side
    181,220.73x = 16,200,540,356.31
  5. Step 5: Solve for x
    x = 16,200,540,356.31/181,220.73
  6. Step 6: Final answer
    x = 89,396.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.