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Finding the Fourth Proportional to 204,940.94, 307,376.60 and 55,147.82

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Solution

The fourth proportional to 204,940.94, 307,376.60 and 55,147.82 is: 82,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,940.94 : 307,376.60 = 55,147.82 : x
  2. Step 2: Convert to fraction form
    204,940.94/307,376.60 = 55,147.82/x
  3. Step 3: Cross multiply
    204,940.94x = 307,376.60 × 55,147.82
  4. Step 4: Simplify right side
    204,940.94x = 16,951,147,596.39
  5. Step 5: Solve for x
    x = 16,951,147,596.39/204,940.94
  6. Step 6: Final answer
    x = 82,712.36

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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.