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Finding the Fourth Proportional to 204,043.39, 281,578.82 and 112,164.82

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Solution

The fourth proportional to 204,043.39, 281,578.82 and 112,164.82 is: 154,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,043.39 : 281,578.82 = 112,164.82 : x
  2. Step 2: Convert to fraction form
    204,043.39/281,578.82 = 112,164.82/x
  3. Step 3: Cross multiply
    204,043.39x = 281,578.82 × 112,164.82
  4. Step 4: Simplify right side
    204,043.39x = 31,583,236,396.34
  5. Step 5: Solve for x
    x = 31,583,236,396.34/204,043.39
  6. Step 6: Final answer
    x = 154,786.87

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1.5x scale

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.