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Finding the Fourth Proportional to 283,434.42, 391,121.52 and 156,110

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Solution

The fourth proportional to 283,434.42, 391,121.52 and 156,110 is: 215,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,434.42 : 391,121.52 = 156,110 : x
  2. Step 2: Convert to fraction form
    283,434.42/391,121.52 = 156,110/x
  3. Step 3: Cross multiply
    283,434.42x = 391,121.52 × 156,110
  4. Step 4: Simplify right side
    283,434.42x = 61,057,980,487.20
  5. Step 5: Solve for x
    x = 61,057,980,487.20/283,434.42
  6. Step 6: Final answer
    x = 215,421.90

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