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Finding the Fourth Proportional to 258,755.28, 388,132.89 and 71,766.78

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Solution

The fourth proportional to 258,755.28, 388,132.89 and 71,766.78 is: 107,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,755.28 : 388,132.89 = 71,766.78 : x
  2. Step 2: Convert to fraction form
    258,755.28/388,132.89 = 71,766.78/x
  3. Step 3: Cross multiply
    258,755.28x = 388,132.89 × 71,766.78
  4. Step 4: Simplify right side
    258,755.28x = 27,855,047,727.39
  5. Step 5: Solve for x
    x = 27,855,047,727.39/258,755.28
  6. Step 6: Final answer
    x = 107,650.16

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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.