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Finding the Fourth Proportional to 120,223, 180,217.30 and 50,122.36

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Solution

The fourth proportional to 120,223, 180,217.30 and 50,122.36 is: 75,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223 : 180,217.30 = 50,122.36 : x
  2. Step 2: Convert to fraction form
    120,223/180,217.30 = 50,122.36/x
  3. Step 3: Cross multiply
    120,223x = 180,217.30 × 50,122.36
  4. Step 4: Simplify right side
    120,223x = 9,032,916,388.83
  5. Step 5: Solve for x
    x = 9,032,916,388.83/120,223
  6. Step 6: Final answer
    x = 75,134.68

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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.