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Finding the Fourth Proportional to 204,408.78, 282,081.30 and 113,764.73

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Solution

The fourth proportional to 204,408.78, 282,081.30 and 113,764.73 is: 156,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,408.78 : 282,081.30 = 113,764.73 : x
  2. Step 2: Convert to fraction form
    204,408.78/282,081.30 = 113,764.73/x
  3. Step 3: Cross multiply
    204,408.78x = 282,081.30 × 113,764.73
  4. Step 4: Simplify right side
    204,408.78x = 32,090,901,522.14
  5. Step 5: Solve for x
    x = 32,090,901,522.14/204,408.78
  6. Step 6: Final answer
    x = 156,993.75

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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.