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Finding the Fourth Proportional to 214,057.76, 321,104.45 and 71,896.28

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Solution

The fourth proportional to 214,057.76, 321,104.45 and 71,896.28 is: 107,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,057.76 : 321,104.45 = 71,896.28 : x
  2. Step 2: Convert to fraction form
    214,057.76/321,104.45 = 71,896.28/x
  3. Step 3: Cross multiply
    214,057.76x = 321,104.45 × 71,896.28
  4. Step 4: Simplify right side
    214,057.76x = 23,086,214,020.66
  5. Step 5: Solve for x
    x = 23,086,214,020.66/214,057.76
  6. Step 6: Final answer
    x = 107,850.40

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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.