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Finding the Fourth Proportional to 80,414.64, 120,680.28 and 45,422.64

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Solution

The fourth proportional to 80,414.64, 120,680.28 and 45,422.64 is: 68,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414.64 : 120,680.28 = 45,422.64 : x
  2. Step 2: Convert to fraction form
    80,414.64/120,680.28 = 45,422.64/x
  3. Step 3: Cross multiply
    80,414.64x = 120,680.28 × 45,422.64
  4. Step 4: Simplify right side
    80,414.64x = 5,481,616,913.54
  5. Step 5: Solve for x
    x = 5,481,616,913.54/80,414.64
  6. Step 6: Final answer
    x = 68,166.90

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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.