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Finding the Fourth Proportional to 203,171.42, 280,378.67 and 122,583.38

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Solution

The fourth proportional to 203,171.42, 280,378.67 and 122,583.38 is: 169,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,171.42 : 280,378.67 = 122,583.38 : x
  2. Step 2: Convert to fraction form
    203,171.42/280,378.67 = 122,583.38/x
  3. Step 3: Cross multiply
    203,171.42x = 280,378.67 × 122,583.38
  4. Step 4: Simplify right side
    203,171.42x = 34,369,763,033.69
  5. Step 5: Solve for x
    x = 34,369,763,033.69/203,171.42
  6. Step 6: Final answer
    x = 169,166.33

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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.