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Finding the Fourth Proportional to 200,556.12, 300,832.02 and 82,201.08

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Solution

The fourth proportional to 200,556.12, 300,832.02 and 82,201.08 is: 123,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,556.12 : 300,832.02 = 82,201.08 : x
  2. Step 2: Convert to fraction form
    200,556.12/300,832.02 = 82,201.08/x
  3. Step 3: Cross multiply
    200,556.12x = 300,832.02 × 82,201.08
  4. Step 4: Simplify right side
    200,556.12x = 24,728,716,942.58
  5. Step 5: Solve for x
    x = 24,728,716,942.58/200,556.12
  6. Step 6: Final answer
    x = 123,300.73

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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.