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Finding the Fourth Proportional to 100,223.71, 150,226.89 and 50,183.17

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Solution

The fourth proportional to 100,223.71, 150,226.89 and 50,183.17 is: 75,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,223.71 : 150,226.89 = 50,183.17 : x
  2. Step 2: Convert to fraction form
    100,223.71/150,226.89 = 50,183.17/x
  3. Step 3: Cross multiply
    100,223.71x = 150,226.89 × 50,183.17
  4. Step 4: Simplify right side
    100,223.71x = 7,538,861,559.44
  5. Step 5: Solve for x
    x = 7,538,861,559.44/100,223.71
  6. Step 6: Final answer
    x = 75,220.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.