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Finding the Fourth Proportional to 205,514.72, 308,292.60 and 55,757.48

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Solution

The fourth proportional to 205,514.72, 308,292.60 and 55,757.48 is: 83,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514.72 : 308,292.60 = 55,757.48 : x
  2. Step 2: Convert to fraction form
    205,514.72/308,292.60 = 55,757.48/x
  3. Step 3: Cross multiply
    205,514.72x = 308,292.60 × 55,757.48
  4. Step 4: Simplify right side
    205,514.72x = 17,189,618,478.65
  5. Step 5: Solve for x
    x = 17,189,618,478.65/205,514.72
  6. Step 6: Final answer
    x = 83,641.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.