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Finding the Fourth Proportional to 182,194, 273,432.12 and 126,425.68

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Solution

The fourth proportional to 182,194, 273,432.12 and 126,425.68 is: 189,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,194 : 273,432.12 = 126,425.68 : x
  2. Step 2: Convert to fraction form
    182,194/273,432.12 = 126,425.68/x
  3. Step 3: Cross multiply
    182,194x = 273,432.12 × 126,425.68
  4. Step 4: Simplify right side
    182,194x = 34,568,841,704.84
  5. Step 5: Solve for x
    x = 34,568,841,704.84/182,194
  6. Step 6: Final answer
    x = 189,736.44

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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.