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Finding the Fourth Proportional to 213,462.83, 320,194.25 and 80,372.94

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Solution

The fourth proportional to 213,462.83, 320,194.25 and 80,372.94 is: 120,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,462.83 : 320,194.25 = 80,372.94 : x
  2. Step 2: Convert to fraction form
    213,462.83/320,194.25 = 80,372.94/x
  3. Step 3: Cross multiply
    213,462.83x = 320,194.25 × 80,372.94
  4. Step 4: Simplify right side
    213,462.83x = 25,734,952,841.73
  5. Step 5: Solve for x
    x = 25,734,952,841.73/213,462.83
  6. Step 6: Final answer
    x = 120,559.41

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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.