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Finding the Fourth Proportional to 258,754.78, 388,132.14 and 71,766.28

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Solution

The fourth proportional to 258,754.78, 388,132.14 and 71,766.28 is: 107,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,754.78 : 388,132.14 = 71,766.28 : x
  2. Step 2: Convert to fraction form
    258,754.78/388,132.14 = 71,766.28/x
  3. Step 3: Cross multiply
    258,754.78x = 388,132.14 × 71,766.28
  4. Step 4: Simplify right side
    258,754.78x = 27,854,799,836.24
  5. Step 5: Solve for x
    x = 27,854,799,836.24/258,754.78
  6. Step 6: Final answer
    x = 107,649.41

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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.