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Finding the Fourth Proportional to 204,251.64, 281,858.17 and 118,196.84

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Solution

The fourth proportional to 204,251.64, 281,858.17 and 118,196.84 is: 163,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,251.64 : 281,858.17 = 118,196.84 : x
  2. Step 2: Convert to fraction form
    204,251.64/281,858.17 = 118,196.84/x
  3. Step 3: Cross multiply
    204,251.64x = 281,858.17 × 118,196.84
  4. Step 4: Simplify right side
    204,251.64x = 33,314,745,022.18
  5. Step 5: Solve for x
    x = 33,314,745,022.18/204,251.64
  6. Step 6: Final answer
    x = 163,106.38

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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.