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Finding the Fourth Proportional to 149,861.70, 224,795.03 and 50,022.41

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Solution

The fourth proportional to 149,861.70, 224,795.03 and 50,022.41 is: 75,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,861.70 : 224,795.03 = 50,022.41 : x
  2. Step 2: Convert to fraction form
    149,861.70/224,795.03 = 50,022.41/x
  3. Step 3: Cross multiply
    149,861.70x = 224,795.03 × 50,022.41
  4. Step 4: Simplify right side
    149,861.70x = 11,244,787,782.54
  5. Step 5: Solve for x
    x = 11,244,787,782.54/149,861.70
  6. Step 6: Final answer
    x = 75,034.43

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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.