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Finding the Fourth Proportional to 208,994.69, 313,491.22 and 75,874.43

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Solution

The fourth proportional to 208,994.69, 313,491.22 and 75,874.43 is: 113,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,994.69 : 313,491.22 = 75,874.43 : x
  2. Step 2: Convert to fraction form
    208,994.69/313,491.22 = 75,874.43/x
  3. Step 3: Cross multiply
    208,994.69x = 313,491.22 × 75,874.43
  4. Step 4: Simplify right side
    208,994.69x = 23,785,965,870.36
  5. Step 5: Solve for x
    x = 23,785,965,870.36/208,994.69
  6. Step 6: Final answer
    x = 113,811.34

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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.