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Finding the Fourth Proportional to 214,579.50, 321,791.49 and 96,189.90

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Solution

The fourth proportional to 214,579.50, 321,791.49 and 96,189.90 is: 144,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,579.50 : 321,791.49 = 96,189.90 : x
  2. Step 2: Convert to fraction form
    214,579.50/321,791.49 = 96,189.90/x
  3. Step 3: Cross multiply
    214,579.50x = 321,791.49 × 96,189.90
  4. Step 4: Simplify right side
    214,579.50x = 30,953,091,243.95
  5. Step 5: Solve for x
    x = 30,953,091,243.95/214,579.50
  6. Step 6: Final answer
    x = 144,249.99

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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.