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Finding the Fourth Proportional to 281,906.06, 422,768.82 and 92,315.06

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Solution

The fourth proportional to 281,906.06, 422,768.82 and 92,315.06 is: 138,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,906.06 : 422,768.82 = 92,315.06 : x
  2. Step 2: Convert to fraction form
    281,906.06/422,768.82 = 92,315.06/x
  3. Step 3: Cross multiply
    281,906.06x = 422,768.82 × 92,315.06
  4. Step 4: Simplify right side
    281,906.06x = 39,027,928,984.43
  5. Step 5: Solve for x
    x = 39,027,928,984.43/281,906.06
  6. Step 6: Final answer
    x = 138,443.03

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Why These Related Problems?

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