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Finding the Fourth Proportional to 150,343.48, 225,541.28 and 50,513.41

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Solution

The fourth proportional to 150,343.48, 225,541.28 and 50,513.41 is: 75,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,343.48 : 225,541.28 = 50,513.41 : x
  2. Step 2: Convert to fraction form
    150,343.48/225,541.28 = 50,513.41/x
  3. Step 3: Cross multiply
    150,343.48x = 225,541.28 × 50,513.41
  4. Step 4: Simplify right side
    150,343.48x = 11,392,859,148.56
  5. Step 5: Solve for x
    x = 11,392,859,148.56/150,343.48
  6. Step 6: Final answer
    x = 75,778.87

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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.