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Finding the Fourth Proportional to 214,861.80, 322,023.90 and 109,722.60

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Solution

The fourth proportional to 214,861.80, 322,023.90 and 109,722.60 is: 164,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,861.80 : 322,023.90 = 109,722.60 : x
  2. Step 2: Convert to fraction form
    214,861.80/322,023.90 = 109,722.60/x
  3. Step 3: Cross multiply
    214,861.80x = 322,023.90 × 109,722.60
  4. Step 4: Simplify right side
    214,861.80x = 35,333,299,570.14
  5. Step 5: Solve for x
    x = 35,333,299,570.14/214,861.80
  6. Step 6: Final answer
    x = 164,446.63

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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.