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Finding the Fourth Proportional to 204,442.85, 306,576.78 and 71,283.71

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Solution

The fourth proportional to 204,442.85, 306,576.78 and 71,283.71 is: 106,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,442.85 : 306,576.78 = 71,283.71 : x
  2. Step 2: Convert to fraction form
    204,442.85/306,576.78 = 71,283.71/x
  3. Step 3: Cross multiply
    204,442.85x = 306,576.78 × 71,283.71
  4. Step 4: Simplify right side
    204,442.85x = 21,853,928,745.37
  5. Step 5: Solve for x
    x = 21,853,928,745.37/204,442.85
  6. Step 6: Final answer
    x = 106,895.05

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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.