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Finding the Fourth Proportional to 214,736.16, 322,039.44 and 90,049.44

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Solution

The fourth proportional to 214,736.16, 322,039.44 and 90,049.44 is: 135,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,736.16 : 322,039.44 = 90,049.44 : x
  2. Step 2: Convert to fraction form
    214,736.16/322,039.44 = 90,049.44/x
  3. Step 3: Cross multiply
    214,736.16x = 322,039.44 × 90,049.44
  4. Step 4: Simplify right side
    214,736.16x = 28,999,471,229.91
  5. Step 5: Solve for x
    x = 28,999,471,229.91/214,736.16
  6. Step 6: Final answer
    x = 135,046.99

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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.