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Finding the Fourth Proportional to 204,361.82, 281,859.55 and 132,764.91

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Solution

The fourth proportional to 204,361.82, 281,859.55 and 132,764.91 is: 183,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,361.82 : 281,859.55 = 132,764.91 : x
  2. Step 2: Convert to fraction form
    204,361.82/281,859.55 = 132,764.91/x
  3. Step 3: Cross multiply
    204,361.82x = 281,859.55 × 132,764.91
  4. Step 4: Simplify right side
    204,361.82x = 37,421,057,124.57
  5. Step 5: Solve for x
    x = 37,421,057,124.57/204,361.82
  6. Step 6: Final answer
    x = 183,111.78

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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.