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Finding the Fourth Proportional to 149,229.88, 205,930.80 and 81,245.38

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Solution

The fourth proportional to 149,229.88, 205,930.80 and 81,245.38 is: 112,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,229.88 : 205,930.80 = 81,245.38 : x
  2. Step 2: Convert to fraction form
    149,229.88/205,930.80 = 81,245.38/x
  3. Step 3: Cross multiply
    149,229.88x = 205,930.80 × 81,245.38
  4. Step 4: Simplify right side
    149,229.88x = 16,730,926,099.70
  5. Step 5: Solve for x
    x = 16,730,926,099.70/149,229.88
  6. Step 6: Final answer
    x = 112,115.12

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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.