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Finding the Fourth Proportional to 258,778, 388,167.18 and 71,789.68

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Solution

The fourth proportional to 258,778, 388,167.18 and 71,789.68 is: 107,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,778 : 388,167.18 = 71,789.68 : x
  2. Step 2: Convert to fraction form
    258,778/388,167.18 = 71,789.68/x
  3. Step 3: Cross multiply
    258,778x = 388,167.18 × 71,789.68
  4. Step 4: Simplify right side
    258,778x = 27,866,397,638.70
  5. Step 5: Solve for x
    x = 27,866,397,638.70/258,778
  6. Step 6: Final answer
    x = 107,684.57

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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.