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Finding the Fourth Proportional to 214,821.20, 322,231.80 and 164,997.20

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Solution

The fourth proportional to 214,821.20, 322,231.80 and 164,997.20 is: 247,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,821.20 : 322,231.80 = 164,997.20 : x
  2. Step 2: Convert to fraction form
    214,821.20/322,231.80 = 164,997.20/x
  3. Step 3: Cross multiply
    214,821.20x = 322,231.80 × 164,997.20
  4. Step 4: Simplify right side
    214,821.20x = 53,167,344,750.96
  5. Step 5: Solve for x
    x = 53,167,344,750.96/214,821.20
  6. Step 6: Final answer
    x = 247,495.80

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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.