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Finding the Fourth Proportional to 198,174.66, 297,261.17 and 71,785.32

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Solution

The fourth proportional to 198,174.66, 297,261.17 and 71,785.32 is: 107,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,174.66 : 297,261.17 = 71,785.32 : x
  2. Step 2: Convert to fraction form
    198,174.66/297,261.17 = 71,785.32/x
  3. Step 3: Cross multiply
    198,174.66x = 297,261.17 × 71,785.32
  4. Step 4: Simplify right side
    198,174.66x = 21,338,988,212.02
  5. Step 5: Solve for x
    x = 21,338,988,212.02/198,174.66
  6. Step 6: Final answer
    x = 107,677.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.