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Finding the Fourth Proportional to 204,198, 281,793.36 and 114,774

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Solution

The fourth proportional to 204,198, 281,793.36 and 114,774 is: 158,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,198 : 281,793.36 = 114,774 : x
  2. Step 2: Convert to fraction form
    204,198/281,793.36 = 114,774/x
  3. Step 3: Cross multiply
    204,198x = 281,793.36 × 114,774
  4. Step 4: Simplify right side
    204,198x = 32,342,551,100.64
  5. Step 5: Solve for x
    x = 32,342,551,100.64/204,198
  6. Step 6: Final answer
    x = 158,388.19

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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.