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Finding the Fourth Proportional to 132,794.61, 199,175.49 and 53,832.96

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Solution

The fourth proportional to 132,794.61, 199,175.49 and 53,832.96 is: 80,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,794.61 : 199,175.49 = 53,832.96 : x
  2. Step 2: Convert to fraction form
    132,794.61/199,175.49 = 53,832.96/x
  3. Step 3: Cross multiply
    132,794.61x = 199,175.49 × 53,832.96
  4. Step 4: Simplify right side
    132,794.61x = 10,722,206,186.15
  5. Step 5: Solve for x
    x = 10,722,206,186.15/132,794.61
  6. Step 6: Final answer
    x = 80,742.78

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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.