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Finding the Fourth Proportional to 206,083.20, 308,977.20 and 79,615.20

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Solution

The fourth proportional to 206,083.20, 308,977.20 and 79,615.20 is: 119,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,083.20 : 308,977.20 = 79,615.20 : x
  2. Step 2: Convert to fraction form
    206,083.20/308,977.20 = 79,615.20/x
  3. Step 3: Cross multiply
    206,083.20x = 308,977.20 × 79,615.20
  4. Step 4: Simplify right side
    206,083.20x = 24,599,281,573.44
  5. Step 5: Solve for x
    x = 24,599,281,573.44/206,083.20
  6. Step 6: Final answer
    x = 119,365.78

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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.