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Finding the Fourth Proportional to 214,260.72, 321,261.44 and 95,910

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Solution

The fourth proportional to 214,260.72, 321,261.44 and 95,910 is: 143,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,260.72 : 321,261.44 = 95,910 : x
  2. Step 2: Convert to fraction form
    214,260.72/321,261.44 = 95,910/x
  3. Step 3: Cross multiply
    214,260.72x = 321,261.44 × 95,910
  4. Step 4: Simplify right side
    214,260.72x = 30,812,184,710.40
  5. Step 5: Solve for x
    x = 30,812,184,710.40/214,260.72
  6. Step 6: Final answer
    x = 143,806.97

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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.