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Finding the Fourth Proportional to 267,929.20, 402,354.60 and 189,593.20

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Solution

The fourth proportional to 267,929.20, 402,354.60 and 189,593.20 is: 284,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,929.20 : 402,354.60 = 189,593.20 : x
  2. Step 2: Convert to fraction form
    267,929.20/402,354.60 = 189,593.20/x
  3. Step 3: Cross multiply
    267,929.20x = 402,354.60 × 189,593.20
  4. Step 4: Simplify right side
    267,929.20x = 76,283,696,148.72
  5. Step 5: Solve for x
    x = 76,283,696,148.72/267,929.20
  6. Step 6: Final answer
    x = 284,715.87

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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.