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Finding the Fourth Proportional to 281,414.54, 422,122.20 and 81,735.50

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Solution

The fourth proportional to 281,414.54, 422,122.20 and 81,735.50 is: 122,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,414.54 : 422,122.20 = 81,735.50 : x
  2. Step 2: Convert to fraction form
    281,414.54/422,122.20 = 81,735.50/x
  3. Step 3: Cross multiply
    281,414.54x = 422,122.20 × 81,735.50
  4. Step 4: Simplify right side
    281,414.54x = 34,502,369,078.10
  5. Step 5: Solve for x
    x = 34,502,369,078.10/281,414.54
  6. Step 6: Final answer
    x = 122,603.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.