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Finding the Fourth Proportional to 180,793.26, 271,163.72 and 126,593.51

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Solution

The fourth proportional to 180,793.26, 271,163.72 and 126,593.51 is: 189,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,793.26 : 271,163.72 = 126,593.51 : x
  2. Step 2: Convert to fraction form
    180,793.26/271,163.72 = 126,593.51/x
  3. Step 3: Cross multiply
    180,793.26x = 271,163.72 × 126,593.51
  4. Step 4: Simplify right side
    180,793.26x = 34,327,566,060.12
  5. Step 5: Solve for x
    x = 34,327,566,060.12/180,793.26
  6. Step 6: Final answer
    x = 189,871.93

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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.