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Finding the Fourth Proportional to 204,895, 307,481.28 and 71,776.36

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Solution

The fourth proportional to 204,895, 307,481.28 and 71,776.36 is: 107,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,895 : 307,481.28 = 71,776.36 : x
  2. Step 2: Convert to fraction form
    204,895/307,481.28 = 71,776.36/x
  3. Step 3: Cross multiply
    204,895x = 307,481.28 × 71,776.36
  4. Step 4: Simplify right side
    204,895x = 22,069,887,046.54
  5. Step 5: Solve for x
    x = 22,069,887,046.54/204,895
  6. Step 6: Final answer
    x = 107,713.16

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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.