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Finding the Fourth Proportional to 204,789.25, 307,235.72 and 57,045.25

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Solution

The fourth proportional to 204,789.25, 307,235.72 and 57,045.25 is: 85,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,789.25 : 307,235.72 = 57,045.25 : x
  2. Step 2: Convert to fraction form
    204,789.25/307,235.72 = 57,045.25/x
  3. Step 3: Cross multiply
    204,789.25x = 307,235.72 × 57,045.25
  4. Step 4: Simplify right side
    204,789.25x = 17,526,338,456.33
  5. Step 5: Solve for x
    x = 17,526,338,456.33/204,789.25
  6. Step 6: Final answer
    x = 85,582.32

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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.