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Finding the Fourth Proportional to 87,231.60, 130,847.40 and 81,982.80

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Solution

The fourth proportional to 87,231.60, 130,847.40 and 81,982.80 is: 122,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,231.60 : 130,847.40 = 81,982.80 : x
  2. Step 2: Convert to fraction form
    87,231.60/130,847.40 = 81,982.80/x
  3. Step 3: Cross multiply
    87,231.60x = 130,847.40 × 81,982.80
  4. Step 4: Simplify right side
    87,231.60x = 10,727,236,224.72
  5. Step 5: Solve for x
    x = 10,727,236,224.72/87,231.60
  6. Step 6: Final answer
    x = 122,974.20

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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.