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Finding the Fourth Proportional to 381,876.52, 572,830.14 and 101,396.20

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Solution

The fourth proportional to 381,876.52, 572,830.14 and 101,396.20 is: 152,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,876.52 : 572,830.14 = 101,396.20 : x
  2. Step 2: Convert to fraction form
    381,876.52/572,830.14 = 101,396.20/x
  3. Step 3: Cross multiply
    381,876.52x = 572,830.14 × 101,396.20
  4. Step 4: Simplify right side
    381,876.52x = 58,082,799,441.47
  5. Step 5: Solve for x
    x = 58,082,799,441.47/381,876.52
  6. Step 6: Final answer
    x = 152,098.38

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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.