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Finding the Fourth Proportional to 270,321.60, 373,024.17 and 149,464.38

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Solution

The fourth proportional to 270,321.60, 373,024.17 and 149,464.38 is: 206,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,321.60 : 373,024.17 = 149,464.38 : x
  2. Step 2: Convert to fraction form
    270,321.60/373,024.17 = 149,464.38/x
  3. Step 3: Cross multiply
    270,321.60x = 373,024.17 × 149,464.38
  4. Step 4: Simplify right side
    270,321.60x = 55,753,826,294.06
  5. Step 5: Solve for x
    x = 55,753,826,294.06/270,321.60
  6. Step 6: Final answer
    x = 206,249.99

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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.