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Finding the Fourth Proportional to 87,081.60, 130,276.80 and 75,523.20

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Solution

The fourth proportional to 87,081.60, 130,276.80 and 75,523.20 is: 112,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,081.60 : 130,276.80 = 75,523.20 : x
  2. Step 2: Convert to fraction form
    87,081.60/130,276.80 = 75,523.20/x
  3. Step 3: Cross multiply
    87,081.60x = 130,276.80 × 75,523.20
  4. Step 4: Simplify right side
    87,081.60x = 9,838,920,821.76
  5. Step 5: Solve for x
    x = 9,838,920,821.76/87,081.60
  6. Step 6: Final answer
    x = 112,985.07

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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.