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Finding the Fourth Proportional to 204,032.27, 281,604.84 and 130,397.60

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Solution

The fourth proportional to 204,032.27, 281,604.84 and 130,397.60 is: 179,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032.27 : 281,604.84 = 130,397.60 : x
  2. Step 2: Convert to fraction form
    204,032.27/281,604.84 = 130,397.60/x
  3. Step 3: Cross multiply
    204,032.27x = 281,604.84 × 130,397.60
  4. Step 4: Simplify right side
    204,032.27x = 36,720,595,284.38
  5. Step 5: Solve for x
    x = 36,720,595,284.38/204,032.27
  6. Step 6: Final answer
    x = 179,974.45

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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.