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Finding the Fourth Proportional to 208,996.68, 313,494.22 and 75,876.42

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Solution

The fourth proportional to 208,996.68, 313,494.22 and 75,876.42 is: 113,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,996.68 : 313,494.22 = 75,876.42 : x
  2. Step 2: Convert to fraction form
    208,996.68/313,494.22 = 75,876.42/x
  3. Step 3: Cross multiply
    208,996.68x = 313,494.22 × 75,876.42
  4. Step 4: Simplify right side
    208,996.68x = 23,786,819,104.29
  5. Step 5: Solve for x
    x = 23,786,819,104.29/208,996.68
  6. Step 6: Final answer
    x = 113,814.34

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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.