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Finding the Fourth Proportional to 187,154.98, 280,691.19 and 54,006.30

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Solution

The fourth proportional to 187,154.98, 280,691.19 and 54,006.30 is: 80,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,154.98 : 280,691.19 = 54,006.30 : x
  2. Step 2: Convert to fraction form
    187,154.98/280,691.19 = 54,006.30/x
  3. Step 3: Cross multiply
    187,154.98x = 280,691.19 × 54,006.30
  4. Step 4: Simplify right side
    187,154.98x = 15,159,092,614.50
  5. Step 5: Solve for x
    x = 15,159,092,614.50/187,154.98
  6. Step 6: Final answer
    x = 80,997.54

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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.