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Finding the Fourth Proportional to 204,183, 281,772.54 and 114,759

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Solution

The fourth proportional to 204,183, 281,772.54 and 114,759 is: 158,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,183 : 281,772.54 = 114,759 : x
  2. Step 2: Convert to fraction form
    204,183/281,772.54 = 114,759/x
  3. Step 3: Cross multiply
    204,183x = 281,772.54 × 114,759
  4. Step 4: Simplify right side
    204,183x = 32,335,934,917.86
  5. Step 5: Solve for x
    x = 32,335,934,917.86/204,183
  6. Step 6: Final answer
    x = 158,367.42

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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.