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Finding the Fourth Proportional to 98,942.88, 148,447.13 and 65,793.44

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Solution

The fourth proportional to 98,942.88, 148,447.13 and 65,793.44 is: 98,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,942.88 : 148,447.13 = 65,793.44 : x
  2. Step 2: Convert to fraction form
    98,942.88/148,447.13 = 65,793.44/x
  3. Step 3: Cross multiply
    98,942.88x = 148,447.13 × 65,793.44
  4. Step 4: Simplify right side
    98,942.88x = 9,766,846,269.62
  5. Step 5: Solve for x
    x = 9,766,846,269.62/98,942.88
  6. Step 6: Final answer
    x = 98,711.97

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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.