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Finding the Fourth Proportional to 201,162.40, 301,306.20 and 122,138.80

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Solution

The fourth proportional to 201,162.40, 301,306.20 and 122,138.80 is: 182,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,162.40 : 301,306.20 = 122,138.80 : x
  2. Step 2: Convert to fraction form
    201,162.40/301,306.20 = 122,138.80/x
  3. Step 3: Cross multiply
    201,162.40x = 301,306.20 × 122,138.80
  4. Step 4: Simplify right side
    201,162.40x = 36,801,177,700.56
  5. Step 5: Solve for x
    x = 36,801,177,700.56/201,162.40
  6. Step 6: Final answer
    x = 182,942.63

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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.