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Finding the Fourth Proportional to 200,769.52, 277,189.53 and 179,221.49

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Solution

The fourth proportional to 200,769.52, 277,189.53 and 179,221.49 is: 247,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769.52 : 277,189.53 = 179,221.49 : x
  2. Step 2: Convert to fraction form
    200,769.52/277,189.53 = 179,221.49/x
  3. Step 3: Cross multiply
    200,769.52x = 277,189.53 × 179,221.49
  4. Step 4: Simplify right side
    200,769.52x = 49,678,320,579.00
  5. Step 5: Solve for x
    x = 49,678,320,579.00/200,769.52
  6. Step 6: Final answer
    x = 247,439.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.