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Finding the Fourth Proportional to 142,874.24, 214,347 and 100,836.44

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Solution

The fourth proportional to 142,874.24, 214,347 and 100,836.44 is: 151,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,874.24 : 214,347 = 100,836.44 : x
  2. Step 2: Convert to fraction form
    142,874.24/214,347 = 100,836.44/x
  3. Step 3: Cross multiply
    142,874.24x = 214,347 × 100,836.44
  4. Step 4: Simplify right side
    142,874.24x = 21,613,988,404.68
  5. Step 5: Solve for x
    x = 21,613,988,404.68/142,874.24
  6. Step 6: Final answer
    x = 151,279.81

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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.