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Finding the Fourth Proportional to 264,321.92, 364,769.68 and 149,600.56

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Solution

The fourth proportional to 264,321.92, 364,769.68 and 149,600.56 is: 206,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,321.92 : 364,769.68 = 149,600.56 : x
  2. Step 2: Convert to fraction form
    264,321.92/364,769.68 = 149,600.56/x
  3. Step 3: Cross multiply
    264,321.92x = 364,769.68 × 149,600.56
  4. Step 4: Simplify right side
    264,321.92x = 54,569,748,399.02
  5. Step 5: Solve for x
    x = 54,569,748,399.02/264,321.92
  6. Step 6: Final answer
    x = 206,451.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.