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Finding the Fourth Proportional to 80,151.86, 120,255.41 and 35,809.22

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Solution

The fourth proportional to 80,151.86, 120,255.41 and 35,809.22 is: 53,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,151.86 : 120,255.41 = 35,809.22 : x
  2. Step 2: Convert to fraction form
    80,151.86/120,255.41 = 35,809.22/x
  3. Step 3: Cross multiply
    80,151.86x = 120,255.41 × 35,809.22
  4. Step 4: Simplify right side
    80,151.86x = 4,306,252,432.88
  5. Step 5: Solve for x
    x = 4,306,252,432.88/80,151.86
  6. Step 6: Final answer
    x = 53,726.17

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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.