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Finding the Fourth Proportional to 198,102.80, 273,380.26 and 107,458.54

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Solution

The fourth proportional to 198,102.80, 273,380.26 and 107,458.54 is: 148,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,102.80 : 273,380.26 = 107,458.54 : x
  2. Step 2: Convert to fraction form
    198,102.80/273,380.26 = 107,458.54/x
  3. Step 3: Cross multiply
    198,102.80x = 273,380.26 × 107,458.54
  4. Step 4: Simplify right side
    198,102.80x = 29,377,043,604.42
  5. Step 5: Solve for x
    x = 29,377,043,604.42/198,102.80
  6. Step 6: Final answer
    x = 148,291.92

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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.