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Finding the Fourth Proportional to 220,227, 330,340.50 and 54,015

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Solution

The fourth proportional to 220,227, 330,340.50 and 54,015 is: 81,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,227 : 330,340.50 = 54,015 : x
  2. Step 2: Convert to fraction form
    220,227/330,340.50 = 54,015/x
  3. Step 3: Cross multiply
    220,227x = 330,340.50 × 54,015
  4. Step 4: Simplify right side
    220,227x = 17,843,342,107.50
  5. Step 5: Solve for x
    x = 17,843,342,107.50/220,227
  6. Step 6: Final answer
    x = 81,022.50

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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.