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Finding the Fourth Proportional to 204,265.86, 281,886.85 and 114,841.86

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Solution

The fourth proportional to 204,265.86, 281,886.85 and 114,841.86 is: 158,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265.86 : 281,886.85 = 114,841.86 : x
  2. Step 2: Convert to fraction form
    204,265.86/281,886.85 = 114,841.86/x
  3. Step 3: Cross multiply
    204,265.86x = 281,886.85 × 114,841.86
  4. Step 4: Simplify right side
    204,265.86x = 32,372,410,163.54
  5. Step 5: Solve for x
    x = 32,372,410,163.54/204,265.86
  6. Step 6: Final answer
    x = 158,481.75

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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.