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Finding the Fourth Proportional to 201,231.51, 301,910.45 and 82,958.55

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Solution

The fourth proportional to 201,231.51, 301,910.45 and 82,958.55 is: 124,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.51 : 301,910.45 = 82,958.55 : x
  2. Step 2: Convert to fraction form
    201,231.51/301,910.45 = 82,958.55/x
  3. Step 3: Cross multiply
    201,231.51x = 301,910.45 × 82,958.55
  4. Step 4: Simplify right side
    201,231.51x = 25,046,052,747.05
  5. Step 5: Solve for x
    x = 25,046,052,747.05/201,231.51
  6. Step 6: Final answer
    x = 124,463.87

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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.