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Finding the Fourth Proportional to 214,213.53, 321,255.52 and 64,414.05

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Solution

The fourth proportional to 214,213.53, 321,255.52 and 64,414.05 is: 96,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,213.53 : 321,255.52 = 64,414.05 : x
  2. Step 2: Convert to fraction form
    214,213.53/321,255.52 = 64,414.05/x
  3. Step 3: Cross multiply
    214,213.53x = 321,255.52 × 64,414.05
  4. Step 4: Simplify right side
    214,213.53x = 20,693,369,128.06
  5. Step 5: Solve for x
    x = 20,693,369,128.06/214,213.53
  6. Step 6: Final answer
    x = 96,601.60

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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.