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Finding the Fourth Proportional to 327,198.25, 490,803.54 and 102,553.75

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Solution

The fourth proportional to 327,198.25, 490,803.54 and 102,553.75 is: 153,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,198.25 : 490,803.54 = 102,553.75 : x
  2. Step 2: Convert to fraction form
    327,198.25/490,803.54 = 102,553.75/x
  3. Step 3: Cross multiply
    327,198.25x = 490,803.54 × 102,553.75
  4. Step 4: Simplify right side
    327,198.25x = 50,333,743,540.28
  5. Step 5: Solve for x
    x = 50,333,743,540.28/327,198.25
  6. Step 6: Final answer
    x = 153,832.56

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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.