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Finding the Fourth Proportional to 80,657.60, 120,856.80 and 67,438.40

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Solution

The fourth proportional to 80,657.60, 120,856.80 and 67,438.40 is: 101,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657.60 : 120,856.80 = 67,438.40 : x
  2. Step 2: Convert to fraction form
    80,657.60/120,856.80 = 67,438.40/x
  3. Step 3: Cross multiply
    80,657.60x = 120,856.80 × 67,438.40
  4. Step 4: Simplify right side
    80,657.60x = 8,150,389,221.12
  5. Step 5: Solve for x
    x = 8,150,389,221.12/80,657.60
  6. Step 6: Final answer
    x = 101,049.24

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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.