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Finding the Fourth Proportional to 167,857.56, 251,820.90 and 49,517.64

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Solution

The fourth proportional to 167,857.56, 251,820.90 and 49,517.64 is: 74,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,857.56 : 251,820.90 = 49,517.64 : x
  2. Step 2: Convert to fraction form
    167,857.56/251,820.90 = 49,517.64/x
  3. Step 3: Cross multiply
    167,857.56x = 251,820.90 × 49,517.64
  4. Step 4: Simplify right side
    167,857.56x = 12,469,576,670.68
  5. Step 5: Solve for x
    x = 12,469,576,670.68/167,857.56
  6. Step 6: Final answer
    x = 74,286.66

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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.