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Finding the Fourth Proportional to 179,592.90, 269,379.62 and 54,933.90

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Solution

The fourth proportional to 179,592.90, 269,379.62 and 54,933.90 is: 82,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,592.90 : 269,379.62 = 54,933.90 : x
  2. Step 2: Convert to fraction form
    179,592.90/269,379.62 = 54,933.90/x
  3. Step 3: Cross multiply
    179,592.90x = 269,379.62 × 54,933.90
  4. Step 4: Simplify right side
    179,592.90x = 14,798,073,107.12
  5. Step 5: Solve for x
    x = 14,798,073,107.12/179,592.90
  6. Step 6: Final answer
    x = 82,397.87

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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.