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Finding the Fourth Proportional to 131,893.20, 197,839.80 and 81,154.80

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Solution

The fourth proportional to 131,893.20, 197,839.80 and 81,154.80 is: 121,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,893.20 : 197,839.80 = 81,154.80 : x
  2. Step 2: Convert to fraction form
    131,893.20/197,839.80 = 81,154.80/x
  3. Step 3: Cross multiply
    131,893.20x = 197,839.80 × 81,154.80
  4. Step 4: Simplify right side
    131,893.20x = 16,055,649,401.04
  5. Step 5: Solve for x
    x = 16,055,649,401.04/131,893.20
  6. Step 6: Final answer
    x = 121,732.20

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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.