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Finding the Fourth Proportional to 201,163.82, 301,744.86 and 51,403.88

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Solution

The fourth proportional to 201,163.82, 301,744.86 and 51,403.88 is: 77,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.82 : 301,744.86 = 51,403.88 : x
  2. Step 2: Convert to fraction form
    201,163.82/301,744.86 = 51,403.88/x
  3. Step 3: Cross multiply
    201,163.82x = 301,744.86 × 51,403.88
  4. Step 4: Simplify right side
    201,163.82x = 15,510,855,065.33
  5. Step 5: Solve for x
    x = 15,510,855,065.33/201,163.82
  6. Step 6: Final answer
    x = 77,105.59

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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.