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Finding the Fourth Proportional to 204,811.75, 307,269.47 and 57,067.75

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Solution

The fourth proportional to 204,811.75, 307,269.47 and 57,067.75 is: 85,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,811.75 : 307,269.47 = 57,067.75 : x
  2. Step 2: Convert to fraction form
    204,811.75/307,269.47 = 57,067.75/x
  3. Step 3: Cross multiply
    204,811.75x = 307,269.47 × 57,067.75
  4. Step 4: Simplify right side
    204,811.75x = 17,535,177,296.59
  5. Step 5: Solve for x
    x = 17,535,177,296.59/204,811.75
  6. Step 6: Final answer
    x = 85,616.07

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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.