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Finding the Fourth Proportional to 213,542.46, 320,350.50 and 87,251.22

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Solution

The fourth proportional to 213,542.46, 320,350.50 and 87,251.22 is: 130,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,542.46 : 320,350.50 = 87,251.22 : x
  2. Step 2: Convert to fraction form
    213,542.46/320,350.50 = 87,251.22/x
  3. Step 3: Cross multiply
    213,542.46x = 320,350.50 × 87,251.22
  4. Step 4: Simplify right side
    213,542.46x = 27,950,971,952.61
  5. Step 5: Solve for x
    x = 27,950,971,952.61/213,542.46
  6. Step 6: Final answer
    x = 130,891.87

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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.