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Finding the Fourth Proportional to 272,016.80, 408,082.80 and 82,461.60

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Solution

The fourth proportional to 272,016.80, 408,082.80 and 82,461.60 is: 123,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,016.80 : 408,082.80 = 82,461.60 : x
  2. Step 2: Convert to fraction form
    272,016.80/408,082.80 = 82,461.60/x
  3. Step 3: Cross multiply
    272,016.80x = 408,082.80 × 82,461.60
  4. Step 4: Simplify right side
    272,016.80x = 33,651,160,620.48
  5. Step 5: Solve for x
    x = 33,651,160,620.48/272,016.80
  6. Step 6: Final answer
    x = 123,709.86

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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.