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Finding the Fourth Proportional to 167,456.42, 251,164.80 and 47,523.92

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Solution

The fourth proportional to 167,456.42, 251,164.80 and 47,523.92 is: 71,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,456.42 : 251,164.80 = 47,523.92 : x
  2. Step 2: Convert to fraction form
    167,456.42/251,164.80 = 47,523.92/x
  3. Step 3: Cross multiply
    167,456.42x = 251,164.80 × 47,523.92
  4. Step 4: Simplify right side
    167,456.42x = 11,936,335,862.02
  5. Step 5: Solve for x
    x = 11,936,335,862.02/167,456.42
  6. Step 6: Final answer
    x = 71,280.25

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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.