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Finding the Fourth Proportional to 214,105.71, 321,057.97 and 124,173.97

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Solution

The fourth proportional to 214,105.71, 321,057.97 and 124,173.97 is: 186,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,105.71 : 321,057.97 = 124,173.97 : x
  2. Step 2: Convert to fraction form
    214,105.71/321,057.97 = 124,173.97/x
  3. Step 3: Cross multiply
    214,105.71x = 321,057.97 × 124,173.97
  4. Step 4: Simplify right side
    214,105.71x = 39,867,042,458.87
  5. Step 5: Solve for x
    x = 39,867,042,458.87/214,105.71
  6. Step 6: Final answer
    x = 186,202.61

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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.