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Finding the Fourth Proportional to 362,183.21, 543,286.25 and 172,664.27

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Solution

The fourth proportional to 362,183.21, 543,286.25 and 172,664.27 is: 259,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,183.21 : 543,286.25 = 172,664.27 : x
  2. Step 2: Convert to fraction form
    362,183.21/543,286.25 = 172,664.27/x
  3. Step 3: Cross multiply
    362,183.21x = 543,286.25 × 172,664.27
  4. Step 4: Simplify right side
    362,183.21x = 93,806,123,757.29
  5. Step 5: Solve for x
    x = 93,806,123,757.29/362,183.21
  6. Step 6: Final answer
    x = 259,001.86

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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.