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Finding the Fourth Proportional to 201,211, 301,357.23 and 96,103.78

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Solution

The fourth proportional to 201,211, 301,357.23 and 96,103.78 is: 143,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,211 : 301,357.23 = 96,103.78 : x
  2. Step 2: Convert to fraction form
    201,211/301,357.23 = 96,103.78/x
  3. Step 3: Cross multiply
    201,211x = 301,357.23 × 96,103.78
  4. Step 4: Simplify right side
    201,211x = 28,961,568,933.33
  5. Step 5: Solve for x
    x = 28,961,568,933.33/201,211
  6. Step 6: Final answer
    x = 143,936.31

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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.