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Finding the Fourth Proportional to 204,576.45, 282,314.70 and 113,933.49

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Solution

The fourth proportional to 204,576.45, 282,314.70 and 113,933.49 is: 157,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,576.45 : 282,314.70 = 113,933.49 : x
  2. Step 2: Convert to fraction form
    204,576.45/282,314.70 = 113,933.49/x
  3. Step 3: Cross multiply
    204,576.45x = 282,314.70 × 113,933.49
  4. Step 4: Simplify right side
    204,576.45x = 32,165,099,049.30
  5. Step 5: Solve for x
    x = 32,165,099,049.30/204,576.45
  6. Step 6: Final answer
    x = 157,227.77

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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.