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Finding the Fourth Proportional to 87,123.50, 130,686.26 and 82,874.24

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Solution

The fourth proportional to 87,123.50, 130,686.26 and 82,874.24 is: 124,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,123.50 : 130,686.26 = 82,874.24 : x
  2. Step 2: Convert to fraction form
    87,123.50/130,686.26 = 82,874.24/x
  3. Step 3: Cross multiply
    87,123.50x = 130,686.26 × 82,874.24
  4. Step 4: Simplify right side
    87,123.50x = 10,830,524,475.94
  5. Step 5: Solve for x
    x = 10,830,524,475.94/87,123.50
  6. Step 6: Final answer
    x = 124,312.32

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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.