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Finding the Fourth Proportional to 204,772.65, 307,138.22 and 54,993.48

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Solution

The fourth proportional to 204,772.65, 307,138.22 and 54,993.48 is: 82,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,772.65 : 307,138.22 = 54,993.48 : x
  2. Step 2: Convert to fraction form
    204,772.65/307,138.22 = 54,993.48/x
  3. Step 3: Cross multiply
    204,772.65x = 307,138.22 × 54,993.48
  4. Step 4: Simplify right side
    204,772.65x = 16,890,600,220.62
  5. Step 5: Solve for x
    x = 16,890,600,220.62/204,772.65
  6. Step 6: Final answer
    x = 82,484.65

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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.