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Finding the Fourth Proportional to 269,403.91, 404,091.21 and 82,415.41

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Solution

The fourth proportional to 269,403.91, 404,091.21 and 82,415.41 is: 123,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,403.91 : 404,091.21 = 82,415.41 : x
  2. Step 2: Convert to fraction form
    269,403.91/404,091.21 = 82,415.41/x
  3. Step 3: Cross multiply
    269,403.91x = 404,091.21 × 82,415.41
  4. Step 4: Simplify right side
    269,403.91x = 33,303,342,749.55
  5. Step 5: Solve for x
    x = 33,303,342,749.55/269,403.91
  6. Step 6: Final answer
    x = 123,618.63

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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.