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Finding the Fourth Proportional to 204,712.50, 307,026.41 and 54,917.28

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Solution

The fourth proportional to 204,712.50, 307,026.41 and 54,917.28 is: 82,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,712.50 : 307,026.41 = 54,917.28 : x
  2. Step 2: Convert to fraction form
    204,712.50/307,026.41 = 54,917.28/x
  3. Step 3: Cross multiply
    204,712.50x = 307,026.41 × 54,917.28
  4. Step 4: Simplify right side
    204,712.50x = 16,861,055,050.78
  5. Step 5: Solve for x
    x = 16,861,055,050.78/204,712.50
  6. Step 6: Final answer
    x = 82,364.56

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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.