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Finding the Fourth Proportional to 80,195.80, 120,147.90 and 65,324.20

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Solution

The fourth proportional to 80,195.80, 120,147.90 and 65,324.20 is: 97,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,195.80 : 120,147.90 = 65,324.20 : x
  2. Step 2: Convert to fraction form
    80,195.80/120,147.90 = 65,324.20/x
  3. Step 3: Cross multiply
    80,195.80x = 120,147.90 × 65,324.20
  4. Step 4: Simplify right side
    80,195.80x = 7,848,565,449.18
  5. Step 5: Solve for x
    x = 7,848,565,449.18/80,195.80
  6. Step 6: Final answer
    x = 97,867.54

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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.