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Finding the Fourth Proportional to 198,781.86, 298,004.25 and 86,377.50

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Solution

The fourth proportional to 198,781.86, 298,004.25 and 86,377.50 is: 129,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,781.86 : 298,004.25 = 86,377.50 : x
  2. Step 2: Convert to fraction form
    198,781.86/298,004.25 = 86,377.50/x
  3. Step 3: Cross multiply
    198,781.86x = 298,004.25 × 86,377.50
  4. Step 4: Simplify right side
    198,781.86x = 25,740,862,104.38
  5. Step 5: Solve for x
    x = 25,740,862,104.38/198,781.86
  6. Step 6: Final answer
    x = 129,493.01

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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.