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Finding the Fourth Proportional to 204,199, 281,794.26 and 113,552.44

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Solution

The fourth proportional to 204,199, 281,794.26 and 113,552.44 is: 156,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,199 : 281,794.26 = 113,552.44 : x
  2. Step 2: Convert to fraction form
    204,199/281,794.26 = 113,552.44/x
  3. Step 3: Cross multiply
    204,199x = 281,794.26 × 113,552.44
  4. Step 4: Simplify right side
    204,199x = 31,998,425,800.99
  5. Step 5: Solve for x
    x = 31,998,425,800.99/204,199
  6. Step 6: Final answer
    x = 156,702.17

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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.