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Finding the Fourth Proportional to 201,213.22, 301,632.20 and 68,000.32

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Solution

The fourth proportional to 201,213.22, 301,632.20 and 68,000.32 is: 101,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.22 : 301,632.20 = 68,000.32 : x
  2. Step 2: Convert to fraction form
    201,213.22/301,632.20 = 68,000.32/x
  3. Step 3: Cross multiply
    201,213.22x = 301,632.20 × 68,000.32
  4. Step 4: Simplify right side
    201,213.22x = 20,511,086,122.30
  5. Step 5: Solve for x
    x = 20,511,086,122.30/201,213.22
  6. Step 6: Final answer
    x = 101,937.07

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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.