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Finding the Fourth Proportional to 208,814.14, 313,220.85 and 75,694.06

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Solution

The fourth proportional to 208,814.14, 313,220.85 and 75,694.06 is: 113,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,814.14 : 313,220.85 = 75,694.06 : x
  2. Step 2: Convert to fraction form
    208,814.14/313,220.85 = 75,694.06/x
  3. Step 3: Cross multiply
    208,814.14x = 313,220.85 × 75,694.06
  4. Step 4: Simplify right side
    208,814.14x = 23,708,957,813.15
  5. Step 5: Solve for x
    x = 23,708,957,813.15/208,814.14
  6. Step 6: Final answer
    x = 113,540.96

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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.