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Finding the Fourth Proportional to 198,676.80, 298,138.52 and 80,349.17

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Solution

The fourth proportional to 198,676.80, 298,138.52 and 80,349.17 is: 120,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,676.80 : 298,138.52 = 80,349.17 : x
  2. Step 2: Convert to fraction form
    198,676.80/298,138.52 = 80,349.17/x
  3. Step 3: Cross multiply
    198,676.80x = 298,138.52 × 80,349.17
  4. Step 4: Simplify right side
    198,676.80x = 23,955,181,337.21
  5. Step 5: Solve for x
    x = 23,955,181,337.21/198,676.80
  6. Step 6: Final answer
    x = 120,573.62

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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.