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Finding the Fourth Proportional to 267,864.60, 402,023.70 and 110,206.20

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Solution

The fourth proportional to 267,864.60, 402,023.70 and 110,206.20 is: 165,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,864.60 : 402,023.70 = 110,206.20 : x
  2. Step 2: Convert to fraction form
    267,864.60/402,023.70 = 110,206.20/x
  3. Step 3: Cross multiply
    267,864.60x = 402,023.70 × 110,206.20
  4. Step 4: Simplify right side
    267,864.60x = 44,305,504,286.94
  5. Step 5: Solve for x
    x = 44,305,504,286.94/267,864.60
  6. Step 6: Final answer
    x = 165,402.61

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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.