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Finding the Fourth Proportional to 198,436.65, 297,695.97 and 65,324.89

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Solution

The fourth proportional to 198,436.65, 297,695.97 and 65,324.89 is: 98,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,436.65 : 297,695.97 = 65,324.89 : x
  2. Step 2: Convert to fraction form
    198,436.65/297,695.97 = 65,324.89/x
  3. Step 3: Cross multiply
    198,436.65x = 297,695.97 × 65,324.89
  4. Step 4: Simplify right side
    198,436.65x = 19,446,956,493.69
  5. Step 5: Solve for x
    x = 19,446,956,493.69/198,436.65
  6. Step 6: Final answer
    x = 98,000.83

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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.