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Finding the Fourth Proportional to 100,842, 151,249.56 and 34,279.44

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Solution

The fourth proportional to 100,842, 151,249.56 and 34,279.44 is: 51,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,842 : 151,249.56 = 34,279.44 : x
  2. Step 2: Convert to fraction form
    100,842/151,249.56 = 34,279.44/x
  3. Step 3: Cross multiply
    100,842x = 151,249.56 × 34,279.44
  4. Step 4: Simplify right side
    100,842x = 5,184,750,217.05
  5. Step 5: Solve for x
    x = 5,184,750,217.05/100,842
  6. Step 6: Final answer
    x = 51,414.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.