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Finding the Fourth Proportional to 87,138.80, 130,805.40 and 81,428.30

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Solution

The fourth proportional to 87,138.80, 130,805.40 and 81,428.30 is: 122,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,138.80 : 130,805.40 = 81,428.30 : x
  2. Step 2: Convert to fraction form
    87,138.80/130,805.40 = 81,428.30/x
  3. Step 3: Cross multiply
    87,138.80x = 130,805.40 × 81,428.30
  4. Step 4: Simplify right side
    87,138.80x = 10,651,261,352.82
  5. Step 5: Solve for x
    x = 10,651,261,352.82/87,138.80
  6. Step 6: Final answer
    x = 122,233.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.