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Finding the Fourth Proportional to 208,241.22, 312,361.83 and 50,469.68

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Solution

The fourth proportional to 208,241.22, 312,361.83 and 50,469.68 is: 75,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,241.22 : 312,361.83 = 50,469.68 : x
  2. Step 2: Convert to fraction form
    208,241.22/312,361.83 = 50,469.68/x
  3. Step 3: Cross multiply
    208,241.22x = 312,361.83 × 50,469.68
  4. Step 4: Simplify right side
    208,241.22x = 15,764,801,604.31
  5. Step 5: Solve for x
    x = 15,764,801,604.31/208,241.22
  6. Step 6: Final answer
    x = 75,704.52

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1.5x scale

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.