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Finding the Fourth Proportional to 198,019.13, 296,766.25 and 164,951.69

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Solution

The fourth proportional to 198,019.13, 296,766.25 and 164,951.69 is: 247,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,019.13 : 296,766.25 = 164,951.69 : x
  2. Step 2: Convert to fraction form
    198,019.13/296,766.25 = 164,951.69/x
  3. Step 3: Cross multiply
    198,019.13x = 296,766.25 × 164,951.69
  4. Step 4: Simplify right side
    198,019.13x = 48,952,092,576.25
  5. Step 5: Solve for x
    x = 48,952,092,576.25/198,019.13
  6. Step 6: Final answer
    x = 247,208.91

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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.