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Finding the Fourth Proportional to 87,682.56, 131,523.84 and 81,384

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Solution

The fourth proportional to 87,682.56, 131,523.84 and 81,384 is: 122,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,682.56 : 131,523.84 = 81,384 : x
  2. Step 2: Convert to fraction form
    87,682.56/131,523.84 = 81,384/x
  3. Step 3: Cross multiply
    87,682.56x = 131,523.84 × 81,384
  4. Step 4: Simplify right side
    87,682.56x = 10,703,936,194.56
  5. Step 5: Solve for x
    x = 10,703,936,194.56/87,682.56
  6. Step 6: Final answer
    x = 122,076

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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.