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Finding the Fourth Proportional to 198,446.52, 273,874.86 and 141,189.24

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Solution

The fourth proportional to 198,446.52, 273,874.86 and 141,189.24 is: 194,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,446.52 : 273,874.86 = 141,189.24 : x
  2. Step 2: Convert to fraction form
    198,446.52/273,874.86 = 141,189.24/x
  3. Step 3: Cross multiply
    198,446.52x = 273,874.86 × 141,189.24
  4. Step 4: Simplify right side
    198,446.52x = 38,668,183,338.51
  5. Step 5: Solve for x
    x = 38,668,183,338.51/198,446.52
  6. Step 6: Final answer
    x = 194,854.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.