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Finding the Fourth Proportional to 129,580.80, 193,982.40 and 76,963.20

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Solution

The fourth proportional to 129,580.80, 193,982.40 and 76,963.20 is: 115,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,580.80 : 193,982.40 = 76,963.20 : x
  2. Step 2: Convert to fraction form
    129,580.80/193,982.40 = 76,963.20/x
  3. Step 3: Cross multiply
    129,580.80x = 193,982.40 × 76,963.20
  4. Step 4: Simplify right side
    129,580.80x = 14,929,506,247.68
  5. Step 5: Solve for x
    x = 14,929,506,247.68/129,580.80
  6. Step 6: Final answer
    x = 115,213.88

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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.