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Finding the Fourth Proportional to 204,857.91, 307,425.78 and 71,739.27

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Solution

The fourth proportional to 204,857.91, 307,425.78 and 71,739.27 is: 107,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,857.91 : 307,425.78 = 71,739.27 : x
  2. Step 2: Convert to fraction form
    204,857.91/307,425.78 = 71,739.27/x
  3. Step 3: Cross multiply
    204,857.91x = 307,425.78 × 71,739.27
  4. Step 4: Simplify right side
    204,857.91x = 22,054,501,036.38
  5. Step 5: Solve for x
    x = 22,054,501,036.38/204,857.91
  6. Step 6: Final answer
    x = 107,657.55

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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.