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Finding the Fourth Proportional to 182,645.38, 252,049.76 and 102,072.86

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Solution

The fourth proportional to 182,645.38, 252,049.76 and 102,072.86 is: 140,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,645.38 : 252,049.76 = 102,072.86 : x
  2. Step 2: Convert to fraction form
    182,645.38/252,049.76 = 102,072.86/x
  3. Step 3: Cross multiply
    182,645.38x = 252,049.76 × 102,072.86
  4. Step 4: Simplify right side
    182,645.38x = 25,727,439,422.86
  5. Step 5: Solve for x
    x = 25,727,439,422.86/182,645.38
  6. Step 6: Final answer
    x = 140,860.06

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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.