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Finding the Fourth Proportional to 87,523.30, 131,090.55 and 75,859.30

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Solution

The fourth proportional to 87,523.30, 131,090.55 and 75,859.30 is: 113,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,523.30 : 131,090.55 = 75,859.30 : x
  2. Step 2: Convert to fraction form
    87,523.30/131,090.55 = 75,859.30/x
  3. Step 3: Cross multiply
    87,523.30x = 131,090.55 × 75,859.30
  4. Step 4: Simplify right side
    87,523.30x = 9,944,437,359.62
  5. Step 5: Solve for x
    x = 9,944,437,359.62/87,523.30
  6. Step 6: Final answer
    x = 113,620.46

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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.