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Finding the Fourth Proportional to 182,524.86, 251,876.79 and 101,952

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Solution

The fourth proportional to 182,524.86, 251,876.79 and 101,952 is: 140,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,524.86 : 251,876.79 = 101,952 : x
  2. Step 2: Convert to fraction form
    182,524.86/251,876.79 = 101,952/x
  3. Step 3: Cross multiply
    182,524.86x = 251,876.79 × 101,952
  4. Step 4: Simplify right side
    182,524.86x = 25,679,342,494.08
  5. Step 5: Solve for x
    x = 25,679,342,494.08/182,524.86
  6. Step 6: Final answer
    x = 140,689.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.