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Finding the Fourth Proportional to 224,183.28, 309,375 and 123,584.88

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Solution

The fourth proportional to 224,183.28, 309,375 and 123,584.88 is: 170,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,183.28 : 309,375 = 123,584.88 : x
  2. Step 2: Convert to fraction form
    224,183.28/309,375 = 123,584.88/x
  3. Step 3: Cross multiply
    224,183.28x = 309,375 × 123,584.88
  4. Step 4: Simplify right side
    224,183.28x = 38,234,072,250
  5. Step 5: Solve for x
    x = 38,234,072,250/224,183.28
  6. Step 6: Final answer
    x = 170,548.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.