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Finding the Fourth Proportional to 138,797.45, 208,195.46 and 33,616.41

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Solution

The fourth proportional to 138,797.45, 208,195.46 and 33,616.41 is: 50,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,797.45 : 208,195.46 = 33,616.41 : x
  2. Step 2: Convert to fraction form
    138,797.45/208,195.46 = 33,616.41/x
  3. Step 3: Cross multiply
    138,797.45x = 208,195.46 × 33,616.41
  4. Step 4: Simplify right side
    138,797.45x = 6,998,783,943.50
  5. Step 5: Solve for x
    x = 6,998,783,943.50/138,797.45
  6. Step 6: Final answer
    x = 50,424.44

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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.