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Finding the Fourth Proportional to 206,607.82, 309,804.20 and 73,468.73

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Solution

The fourth proportional to 206,607.82, 309,804.20 and 73,468.73 is: 110,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,607.82 : 309,804.20 = 73,468.73 : x
  2. Step 2: Convert to fraction form
    206,607.82/309,804.20 = 73,468.73/x
  3. Step 3: Cross multiply
    206,607.82x = 309,804.20 × 73,468.73
  4. Step 4: Simplify right side
    206,607.82x = 22,760,921,122.67
  5. Step 5: Solve for x
    x = 22,760,921,122.67/206,607.82
  6. Step 6: Final answer
    x = 110,164.86

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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.