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Finding the Fourth Proportional to 283,446.68, 391,174.16 and 156,122.24

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Solution

The fourth proportional to 283,446.68, 391,174.16 and 156,122.24 is: 215,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,446.68 : 391,174.16 = 156,122.24 : x
  2. Step 2: Convert to fraction form
    283,446.68/391,174.16 = 156,122.24/x
  3. Step 3: Cross multiply
    283,446.68x = 391,174.16 × 156,122.24
  4. Step 4: Simplify right side
    283,446.68x = 61,070,986,089.32
  5. Step 5: Solve for x
    x = 61,070,986,089.32/283,446.68
  6. Step 6: Final answer
    x = 215,458.46

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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.