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Finding the Fourth Proportional to 132,952.80, 199,425.96 and 54,047.46

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Solution

The fourth proportional to 132,952.80, 199,425.96 and 54,047.46 is: 81,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,952.80 : 199,425.96 = 54,047.46 : x
  2. Step 2: Convert to fraction form
    132,952.80/199,425.96 = 54,047.46/x
  3. Step 3: Cross multiply
    132,952.80x = 199,425.96 × 54,047.46
  4. Step 4: Simplify right side
    132,952.80x = 10,778,466,596.06
  5. Step 5: Solve for x
    x = 10,778,466,596.06/132,952.80
  6. Step 6: Final answer
    x = 81,069.87

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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.