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Finding the Fourth Proportional to 204,269.56, 281,891.28 and 114,845.56

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Solution

The fourth proportional to 204,269.56, 281,891.28 and 114,845.56 is: 158,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,269.56 : 281,891.28 = 114,845.56 : x
  2. Step 2: Convert to fraction form
    204,269.56/281,891.28 = 114,845.56/x
  3. Step 3: Cross multiply
    204,269.56x = 281,891.28 × 114,845.56
  4. Step 4: Simplify right side
    204,269.56x = 32,373,961,910.72
  5. Step 5: Solve for x
    x = 32,373,961,910.72/204,269.56
  6. Step 6: Final answer
    x = 158,486.47

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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.