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Finding the Fourth Proportional to 132,173.34, 182,399.38 and 71,744

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Solution

The fourth proportional to 132,173.34, 182,399.38 and 71,744 is: 99,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,173.34 : 182,399.38 = 71,744 : x
  2. Step 2: Convert to fraction form
    132,173.34/182,399.38 = 71,744/x
  3. Step 3: Cross multiply
    132,173.34x = 182,399.38 × 71,744
  4. Step 4: Simplify right side
    132,173.34x = 13,086,061,118.72
  5. Step 5: Solve for x
    x = 13,086,061,118.72/132,173.34
  6. Step 6: Final answer
    x = 99,006.81

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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.