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Finding the Fourth Proportional to 150,542.91, 207,738.89 and 82,545.77

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Solution

The fourth proportional to 150,542.91, 207,738.89 and 82,545.77 is: 113,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542.91 : 207,738.89 = 82,545.77 : x
  2. Step 2: Convert to fraction form
    150,542.91/207,738.89 = 82,545.77/x
  3. Step 3: Cross multiply
    150,542.91x = 207,738.89 × 82,545.77
  4. Step 4: Simplify right side
    150,542.91x = 17,147,966,221.27
  5. Step 5: Solve for x
    x = 17,147,966,221.27/150,542.91
  6. Step 6: Final answer
    x = 113,907.50

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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.