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Finding the Fourth Proportional to 203,494.44, 280,546.02 and 171,607.44

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Solution

The fourth proportional to 203,494.44, 280,546.02 and 171,607.44 is: 236,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,494.44 : 280,546.02 = 171,607.44 : x
  2. Step 2: Convert to fraction form
    203,494.44/280,546.02 = 171,607.44/x
  3. Step 3: Cross multiply
    203,494.44x = 280,546.02 × 171,607.44
  4. Step 4: Simplify right side
    203,494.44x = 48,143,784,294.39
  5. Step 5: Solve for x
    x = 48,143,784,294.39/203,494.44
  6. Step 6: Final answer
    x = 236,585.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.