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Finding the Fourth Proportional to 208,241.39, 312,362.09 and 50,469.84

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Solution

The fourth proportional to 208,241.39, 312,362.09 and 50,469.84 is: 75,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,241.39 : 312,362.09 = 50,469.84 : x
  2. Step 2: Convert to fraction form
    208,241.39/312,362.09 = 50,469.84/x
  3. Step 3: Cross multiply
    208,241.39x = 312,362.09 × 50,469.84
  4. Step 4: Simplify right side
    208,241.39x = 15,764,865,222.00
  5. Step 5: Solve for x
    x = 15,764,865,222.00/208,241.39
  6. Step 6: Final answer
    x = 75,704.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.