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Finding the Fourth Proportional to 150,627.99, 225,947.87 and 45,446.97

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Solution

The fourth proportional to 150,627.99, 225,947.87 and 45,446.97 is: 68,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,627.99 : 225,947.87 = 45,446.97 : x
  2. Step 2: Convert to fraction form
    150,627.99/225,947.87 = 45,446.97/x
  3. Step 3: Cross multiply
    150,627.99x = 225,947.87 × 45,446.97
  4. Step 4: Simplify right side
    150,627.99x = 10,268,645,842.22
  5. Step 5: Solve for x
    x = 10,268,645,842.22/150,627.99
  6. Step 6: Final answer
    x = 68,172.23

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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.