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Finding the Fourth Proportional to 214,576.50, 321,786.99 and 96,186.90

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Solution

The fourth proportional to 214,576.50, 321,786.99 and 96,186.90 is: 144,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,576.50 : 321,786.99 = 96,186.90 : x
  2. Step 2: Convert to fraction form
    214,576.50/321,786.99 = 96,186.90/x
  3. Step 3: Cross multiply
    214,576.50x = 321,786.99 × 96,186.90
  4. Step 4: Simplify right side
    214,576.50x = 30,951,693,028.43
  5. Step 5: Solve for x
    x = 30,951,693,028.43/214,576.50
  6. Step 6: Final answer
    x = 144,245.49

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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.