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Finding the Fourth Proportional to 327,377.66, 491,072.85 and 102,745.41

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Solution

The fourth proportional to 327,377.66, 491,072.85 and 102,745.41 is: 154,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,377.66 : 491,072.85 = 102,745.41 : x
  2. Step 2: Convert to fraction form
    327,377.66/491,072.85 = 102,745.41/x
  3. Step 3: Cross multiply
    327,377.66x = 491,072.85 × 102,745.41
  4. Step 4: Simplify right side
    327,377.66x = 50,455,481,313.12
  5. Step 5: Solve for x
    x = 50,455,481,313.12/327,377.66
  6. Step 6: Final answer
    x = 154,120.11

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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.