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Finding the Fourth Proportional to 198,873.24, 274,446.24 and 108,229.92

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Solution

The fourth proportional to 198,873.24, 274,446.24 and 108,229.92 is: 149,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,873.24 : 274,446.24 = 108,229.92 : x
  2. Step 2: Convert to fraction form
    198,873.24/274,446.24 = 108,229.92/x
  3. Step 3: Cross multiply
    198,873.24x = 274,446.24 × 108,229.92
  4. Step 4: Simplify right side
    198,873.24x = 29,703,294,599.50
  5. Step 5: Solve for x
    x = 29,703,294,599.50/198,873.24
  6. Step 6: Final answer
    x = 149,357.93

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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.