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Finding the Fourth Proportional to 92,231.20, 138,346.80 and 81,344.80

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Solution

The fourth proportional to 92,231.20, 138,346.80 and 81,344.80 is: 122,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,231.20 : 138,346.80 = 81,344.80 : x
  2. Step 2: Convert to fraction form
    92,231.20/138,346.80 = 81,344.80/x
  3. Step 3: Cross multiply
    92,231.20x = 138,346.80 × 81,344.80
  4. Step 4: Simplify right side
    92,231.20x = 11,253,792,776.64
  5. Step 5: Solve for x
    x = 11,253,792,776.64/92,231.20
  6. Step 6: Final answer
    x = 122,017.20

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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.