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Finding the Fourth Proportional to 281,744.25, 422,616.38 and 94,755.75

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Solution

The fourth proportional to 281,744.25, 422,616.38 and 94,755.75 is: 142,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,744.25 : 422,616.38 = 94,755.75 : x
  2. Step 2: Convert to fraction form
    281,744.25/422,616.38 = 94,755.75/x
  3. Step 3: Cross multiply
    281,744.25x = 422,616.38 × 94,755.75
  4. Step 4: Simplify right side
    281,744.25x = 40,045,331,575.41
  5. Step 5: Solve for x
    x = 40,045,331,575.41/281,744.25
  6. Step 6: Final answer
    x = 142,133.63

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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.