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Finding the Fourth Proportional to 142,679.89, 196,900.31 and 82,249.43

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Solution

The fourth proportional to 142,679.89, 196,900.31 and 82,249.43 is: 113,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,679.89 : 196,900.31 = 82,249.43 : x
  2. Step 2: Convert to fraction form
    142,679.89/196,900.31 = 82,249.43/x
  3. Step 3: Cross multiply
    142,679.89x = 196,900.31 × 82,249.43
  4. Step 4: Simplify right side
    142,679.89x = 16,194,937,853.08
  5. Step 5: Solve for x
    x = 16,194,937,853.08/142,679.89
  6. Step 6: Final answer
    x = 113,505.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.