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Finding the Fourth Proportional to 214,256.72, 321,255.44 and 95,906

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Solution

The fourth proportional to 214,256.72, 321,255.44 and 95,906 is: 143,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,256.72 : 321,255.44 = 95,906 : x
  2. Step 2: Convert to fraction form
    214,256.72/321,255.44 = 95,906/x
  3. Step 3: Cross multiply
    214,256.72x = 321,255.44 × 95,906
  4. Step 4: Simplify right side
    214,256.72x = 30,810,324,228.64
  5. Step 5: Solve for x
    x = 30,810,324,228.64/214,256.72
  6. Step 6: Final answer
    x = 143,800.97

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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.