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Finding the Fourth Proportional to 106,399.62, 146,832.50 and 58,654.69

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Solution

The fourth proportional to 106,399.62, 146,832.50 and 58,654.69 is: 80,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.62 : 146,832.50 = 58,654.69 : x
  2. Step 2: Convert to fraction form
    106,399.62/146,832.50 = 58,654.69/x
  3. Step 3: Cross multiply
    106,399.62x = 146,832.50 × 58,654.69
  4. Step 4: Simplify right side
    106,399.62x = 8,612,414,769.43
  5. Step 5: Solve for x
    x = 8,612,414,769.43/106,399.62
  6. Step 6: Final answer
    x = 80,944.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.