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Finding the Fourth Proportional to 132,822.80, 199,234.20 and 80,334.80

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Solution

The fourth proportional to 132,822.80, 199,234.20 and 80,334.80 is: 120,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,822.80 : 199,234.20 = 80,334.80 : x
  2. Step 2: Convert to fraction form
    132,822.80/199,234.20 = 80,334.80/x
  3. Step 3: Cross multiply
    132,822.80x = 199,234.20 × 80,334.80
  4. Step 4: Simplify right side
    132,822.80x = 16,005,439,610.16
  5. Step 5: Solve for x
    x = 16,005,439,610.16/132,822.80
  6. Step 6: Final answer
    x = 120,502.20

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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.