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Finding the Fourth Proportional to 203,544.42, 280,910.19 and 117,506.22

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Solution

The fourth proportional to 203,544.42, 280,910.19 and 117,506.22 is: 162,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,544.42 : 280,910.19 = 117,506.22 : x
  2. Step 2: Convert to fraction form
    203,544.42/280,910.19 = 117,506.22/x
  3. Step 3: Cross multiply
    203,544.42x = 280,910.19 × 117,506.22
  4. Step 4: Simplify right side
    203,544.42x = 33,008,694,586.38
  5. Step 5: Solve for x
    x = 33,008,694,586.38/203,544.42
  6. Step 6: Final answer
    x = 162,169.49

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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.