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Finding the Fourth Proportional to 144,933.73, 217,415.50 and 50,163.76

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Solution

The fourth proportional to 144,933.73, 217,415.50 and 50,163.76 is: 75,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,933.73 : 217,415.50 = 50,163.76 : x
  2. Step 2: Convert to fraction form
    144,933.73/217,415.50 = 50,163.76/x
  3. Step 3: Cross multiply
    144,933.73x = 217,415.50 × 50,163.76
  4. Step 4: Simplify right side
    144,933.73x = 10,906,379,652.18
  5. Step 5: Solve for x
    x = 10,906,379,652.18/144,933.73
  6. Step 6: Final answer
    x = 75,250.80

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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.