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Finding the Fourth Proportional to 167,455.92, 251,164.05 and 47,523.42

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Solution

The fourth proportional to 167,455.92, 251,164.05 and 47,523.42 is: 71,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,455.92 : 251,164.05 = 47,523.42 : x
  2. Step 2: Convert to fraction form
    167,455.92/251,164.05 = 47,523.42/x
  3. Step 3: Cross multiply
    167,455.92x = 251,164.05 × 47,523.42
  4. Step 4: Simplify right side
    167,455.92x = 11,936,174,637.05
  5. Step 5: Solve for x
    x = 11,936,174,637.05/167,455.92
  6. Step 6: Final answer
    x = 71,279.50

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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.