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Finding the Fourth Proportional to 206,600.76, 309,922.74 and 73,493.28

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Solution

The fourth proportional to 206,600.76, 309,922.74 and 73,493.28 is: 110,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,600.76 : 309,922.74 = 73,493.28 : x
  2. Step 2: Convert to fraction form
    206,600.76/309,922.74 = 73,493.28/x
  3. Step 3: Cross multiply
    206,600.76x = 309,922.74 × 73,493.28
  4. Step 4: Simplify right side
    206,600.76x = 22,777,238,709.19
  5. Step 5: Solve for x
    x = 22,777,238,709.19/206,600.76
  6. Step 6: Final answer
    x = 110,247.60

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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.