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Finding the Fourth Proportional to 272,164.92, 408,247.92 and 82,626.84

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Solution

The fourth proportional to 272,164.92, 408,247.92 and 82,626.84 is: 123,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,164.92 : 408,247.92 = 82,626.84 : x
  2. Step 2: Convert to fraction form
    272,164.92/408,247.92 = 82,626.84/x
  3. Step 3: Cross multiply
    272,164.92x = 408,247.92 × 82,626.84
  4. Step 4: Simplify right side
    272,164.92x = 33,732,235,566.17
  5. Step 5: Solve for x
    x = 33,732,235,566.17/272,164.92
  6. Step 6: Final answer
    x = 123,940.42

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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.