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Finding the Fourth Proportional to 198,491.92, 297,693 and 58,261.48

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Solution

The fourth proportional to 198,491.92, 297,693 and 58,261.48 is: 87,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,491.92 : 297,693 = 58,261.48 : x
  2. Step 2: Convert to fraction form
    198,491.92/297,693 = 58,261.48/x
  3. Step 3: Cross multiply
    198,491.92x = 297,693 × 58,261.48
  4. Step 4: Simplify right side
    198,491.92x = 17,344,034,765.64
  5. Step 5: Solve for x
    x = 17,344,034,765.64/198,491.92
  6. Step 6: Final answer
    x = 87,379.05

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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.