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Finding the Fourth Proportional to 204,239.38, 281,830.60 and 118,181.20

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Solution

The fourth proportional to 204,239.38, 281,830.60 and 118,181.20 is: 163,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,239.38 : 281,830.60 = 118,181.20 : x
  2. Step 2: Convert to fraction form
    204,239.38/281,830.60 = 118,181.20/x
  3. Step 3: Cross multiply
    204,239.38x = 281,830.60 × 118,181.20
  4. Step 4: Simplify right side
    204,239.38x = 33,307,078,504.72
  5. Step 5: Solve for x
    x = 33,307,078,504.72/204,239.38
  6. Step 6: Final answer
    x = 163,078.63

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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.