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Finding the Fourth Proportional to 283,549.38, 391,299.96 and 156,225.88

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Solution

The fourth proportional to 283,549.38, 391,299.96 and 156,225.88 is: 215,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,549.38 : 391,299.96 = 156,225.88 : x
  2. Step 2: Convert to fraction form
    283,549.38/391,299.96 = 156,225.88/x
  3. Step 3: Cross multiply
    283,549.38x = 391,299.96 × 156,225.88
  4. Step 4: Simplify right side
    283,549.38x = 61,131,180,594.96
  5. Step 5: Solve for x
    x = 61,131,180,594.96/283,549.38
  6. Step 6: Final answer
    x = 215,592.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.