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Finding the Fourth Proportional to 272,033.44, 408,050.24 and 82,493.44

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Solution

The fourth proportional to 272,033.44, 408,050.24 and 82,493.44 is: 123,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,033.44 : 408,050.24 = 82,493.44 : x
  2. Step 2: Convert to fraction form
    272,033.44/408,050.24 = 82,493.44/x
  3. Step 3: Cross multiply
    272,033.44x = 408,050.24 × 82,493.44
  4. Step 4: Simplify right side
    272,033.44x = 33,661,467,990.43
  5. Step 5: Solve for x
    x = 33,661,467,990.43/272,033.44
  6. Step 6: Final answer
    x = 123,740.18

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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.