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Finding the Fourth Proportional to 198,793.56, 298,286.03 and 98,962.48

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Solution

The fourth proportional to 198,793.56, 298,286.03 and 98,962.48 is: 148,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,793.56 : 298,286.03 = 98,962.48 : x
  2. Step 2: Convert to fraction form
    198,793.56/298,286.03 = 98,962.48/x
  3. Step 3: Cross multiply
    198,793.56x = 298,286.03 × 98,962.48
  4. Step 4: Simplify right side
    198,793.56x = 29,519,125,278.15
  5. Step 5: Solve for x
    x = 29,519,125,278.15/198,793.56
  6. Step 6: Final answer
    x = 148,491.36

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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.