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Finding the Fourth Proportional to 167,743, 251,614.50 and 43,084

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Solution

The fourth proportional to 167,743, 251,614.50 and 43,084 is: 64,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,743 : 251,614.50 = 43,084 : x
  2. Step 2: Convert to fraction form
    167,743/251,614.50 = 43,084/x
  3. Step 3: Cross multiply
    167,743x = 251,614.50 × 43,084
  4. Step 4: Simplify right side
    167,743x = 10,840,559,118
  5. Step 5: Solve for x
    x = 10,840,559,118/167,743
  6. Step 6: Final answer
    x = 64,626

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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.