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Finding the Fourth Proportional to 198,597.68, 274,067.36 and 107,954.96

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Solution

The fourth proportional to 198,597.68, 274,067.36 and 107,954.96 is: 148,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,597.68 : 274,067.36 = 107,954.96 : x
  2. Step 2: Convert to fraction form
    198,597.68/274,067.36 = 107,954.96/x
  3. Step 3: Cross multiply
    198,597.68x = 274,067.36 × 107,954.96
  4. Step 4: Simplify right side
    198,597.68x = 29,586,930,886.11
  5. Step 5: Solve for x
    x = 29,586,930,886.11/198,597.68
  6. Step 6: Final answer
    x = 148,979.24

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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.