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Finding the Fourth Proportional to 258,207.24, 387,330.18 and 71,217

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Solution

The fourth proportional to 258,207.24, 387,330.18 and 71,217 is: 106,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,207.24 : 387,330.18 = 71,217 : x
  2. Step 2: Convert to fraction form
    258,207.24/387,330.18 = 71,217/x
  3. Step 3: Cross multiply
    258,207.24x = 387,330.18 × 71,217
  4. Step 4: Simplify right side
    258,207.24x = 27,584,493,429.06
  5. Step 5: Solve for x
    x = 27,584,493,429.06/258,207.24
  6. Step 6: Final answer
    x = 106,830.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.