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Finding the Fourth Proportional to 198,654.60, 274,141.24 and 147,894.33

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Solution

The fourth proportional to 198,654.60, 274,141.24 and 147,894.33 is: 204,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,654.60 : 274,141.24 = 147,894.33 : x
  2. Step 2: Convert to fraction form
    198,654.60/274,141.24 = 147,894.33/x
  3. Step 3: Cross multiply
    198,654.60x = 274,141.24 × 147,894.33
  4. Step 4: Simplify right side
    198,654.60x = 40,543,935,015.17
  5. Step 5: Solve for x
    x = 40,543,935,015.17/198,654.60
  6. Step 6: Final answer
    x = 204,092.61

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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.