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Finding the Fourth Proportional to 101,560.90, 152,082.15 and 80,824.90

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Solution

The fourth proportional to 101,560.90, 152,082.15 and 80,824.90 is: 121,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,560.90 : 152,082.15 = 80,824.90 : x
  2. Step 2: Convert to fraction form
    101,560.90/152,082.15 = 80,824.90/x
  3. Step 3: Cross multiply
    101,560.90x = 152,082.15 × 80,824.90
  4. Step 4: Simplify right side
    101,560.90x = 12,292,024,565.54
  5. Step 5: Solve for x
    x = 12,292,024,565.54/101,560.90
  6. Step 6: Final answer
    x = 121,031.07

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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.