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Finding the Fourth Proportional to 198,490.92, 297,691.50 and 58,260.48

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Solution

The fourth proportional to 198,490.92, 297,691.50 and 58,260.48 is: 87,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,490.92 : 297,691.50 = 58,260.48 : x
  2. Step 2: Convert to fraction form
    198,490.92/297,691.50 = 58,260.48/x
  3. Step 3: Cross multiply
    198,490.92x = 297,691.50 × 58,260.48
  4. Step 4: Simplify right side
    198,490.92x = 17,343,649,681.92
  5. Step 5: Solve for x
    x = 17,343,649,681.92/198,490.92
  6. Step 6: Final answer
    x = 87,377.55

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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.