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Finding the Fourth Proportional to 274,593.60, 411,973.56 and 114,747.12

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Solution

The fourth proportional to 274,593.60, 411,973.56 and 114,747.12 is: 172,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,593.60 : 411,973.56 = 114,747.12 : x
  2. Step 2: Convert to fraction form
    274,593.60/411,973.56 = 114,747.12/x
  3. Step 3: Cross multiply
    274,593.60x = 411,973.56 × 114,747.12
  4. Step 4: Simplify right side
    274,593.60x = 47,272,779,526.15
  5. Step 5: Solve for x
    x = 47,272,779,526.15/274,593.60
  6. Step 6: Final answer
    x = 172,155.43

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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.