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Finding the Fourth Proportional to 213,891.44, 320,822.64 and 73,748.48

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Solution

The fourth proportional to 213,891.44, 320,822.64 and 73,748.48 is: 110,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,891.44 : 320,822.64 = 73,748.48 : x
  2. Step 2: Convert to fraction form
    213,891.44/320,822.64 = 73,748.48/x
  3. Step 3: Cross multiply
    213,891.44x = 320,822.64 × 73,748.48
  4. Step 4: Simplify right side
    213,891.44x = 23,660,182,049.59
  5. Step 5: Solve for x
    x = 23,660,182,049.59/213,891.44
  6. Step 6: Final answer
    x = 110,617.71

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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.