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Finding the Fourth Proportional to 208,625.08, 313,066.11 and 82,243.82

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Solution

The fourth proportional to 208,625.08, 313,066.11 and 82,243.82 is: 123,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,625.08 : 313,066.11 = 82,243.82 : x
  2. Step 2: Convert to fraction form
    208,625.08/313,066.11 = 82,243.82/x
  3. Step 3: Cross multiply
    208,625.08x = 313,066.11 × 82,243.82
  4. Step 4: Simplify right side
    208,625.08x = 25,747,752,407.61
  5. Step 5: Solve for x
    x = 25,747,752,407.61/208,625.08
  6. Step 6: Final answer
    x = 123,416.38

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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.