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Finding the Fourth Proportional to 204,379.88, 306,580.75 and 64,149.44

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Solution

The fourth proportional to 204,379.88, 306,580.75 and 64,149.44 is: 96,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,379.88 : 306,580.75 = 64,149.44 : x
  2. Step 2: Convert to fraction form
    204,379.88/306,580.75 = 64,149.44/x
  3. Step 3: Cross multiply
    204,379.88x = 306,580.75 × 64,149.44
  4. Step 4: Simplify right side
    204,379.88x = 19,666,981,734.00
  5. Step 5: Solve for x
    x = 19,666,981,734.00/204,379.88
  6. Step 6: Final answer
    x = 96,227.58

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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.