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Finding the Fourth Proportional to 109,524.32, 151,132.24 and 80,859.24

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Solution

The fourth proportional to 109,524.32, 151,132.24 and 80,859.24 is: 111,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,524.32 : 151,132.24 = 80,859.24 : x
  2. Step 2: Convert to fraction form
    109,524.32/151,132.24 = 80,859.24/x
  3. Step 3: Cross multiply
    109,524.32x = 151,132.24 × 80,859.24
  4. Step 4: Simplify right side
    109,524.32x = 12,220,438,065.90
  5. Step 5: Solve for x
    x = 12,220,438,065.90/109,524.32
  6. Step 6: Final answer
    x = 111,577.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.