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Finding the Fourth Proportional to 198,099.96, 297,198 and 113,913.96

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Solution

The fourth proportional to 198,099.96, 297,198 and 113,913.96 is: 170,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,099.96 : 297,198 = 113,913.96 : x
  2. Step 2: Convert to fraction form
    198,099.96/297,198 = 113,913.96/x
  3. Step 3: Cross multiply
    198,099.96x = 297,198 × 113,913.96
  4. Step 4: Simplify right side
    198,099.96x = 33,855,001,084.08
  5. Step 5: Solve for x
    x = 33,855,001,084.08/198,099.96
  6. Step 6: Final answer
    x = 170,898.58

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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.