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Finding the Fourth Proportional to 198,229.68, 297,289.85 and 65,096.06

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Solution

The fourth proportional to 198,229.68, 297,289.85 and 65,096.06 is: 97,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,229.68 : 297,289.85 = 65,096.06 : x
  2. Step 2: Convert to fraction form
    198,229.68/297,289.85 = 65,096.06/x
  3. Step 3: Cross multiply
    198,229.68x = 297,289.85 × 65,096.06
  4. Step 4: Simplify right side
    198,229.68x = 19,352,396,101.06
  5. Step 5: Solve for x
    x = 19,352,396,101.06/198,229.68
  6. Step 6: Final answer
    x = 97,626.13

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Why These Related Problems?

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