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Finding the Fourth Proportional to 132,975.20, 199,471.80 and 54,090.80

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Solution

The fourth proportional to 132,975.20, 199,471.80 and 54,090.80 is: 81,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,975.20 : 199,471.80 = 54,090.80 : x
  2. Step 2: Convert to fraction form
    132,975.20/199,471.80 = 54,090.80/x
  3. Step 3: Cross multiply
    132,975.20x = 199,471.80 × 54,090.80
  4. Step 4: Simplify right side
    132,975.20x = 10,789,589,239.44
  5. Step 5: Solve for x
    x = 10,789,589,239.44/132,975.20
  6. Step 6: Final answer
    x = 81,139.86

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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.