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Finding the Fourth Proportional to 237,744, 356,375.76 and 149,059.68

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Solution

The fourth proportional to 237,744, 356,375.76 and 149,059.68 is: 223,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,744 : 356,375.76 = 149,059.68 : x
  2. Step 2: Convert to fraction form
    237,744/356,375.76 = 149,059.68/x
  3. Step 3: Cross multiply
    237,744x = 356,375.76 × 149,059.68
  4. Step 4: Simplify right side
    237,744x = 53,121,256,745.36
  5. Step 5: Solve for x
    x = 53,121,256,745.36/237,744
  6. Step 6: Final answer
    x = 223,438.90

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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.