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Finding the Fourth Proportional to 110,446.20, 165,717.90 and 51,251.40

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Solution

The fourth proportional to 110,446.20, 165,717.90 and 51,251.40 is: 76,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,446.20 : 165,717.90 = 51,251.40 : x
  2. Step 2: Convert to fraction form
    110,446.20/165,717.90 = 51,251.40/x
  3. Step 3: Cross multiply
    110,446.20x = 165,717.90 × 51,251.40
  4. Step 4: Simplify right side
    110,446.20x = 8,493,274,380.06
  5. Step 5: Solve for x
    x = 8,493,274,380.06/110,446.20
  6. Step 6: Final answer
    x = 76,899.65

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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.