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Finding the Fourth Proportional to 203,093.85, 280,181.27 and 122,476.57

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Solution

The fourth proportional to 203,093.85, 280,181.27 and 122,476.57 is: 168,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,093.85 : 280,181.27 = 122,476.57 : x
  2. Step 2: Convert to fraction form
    203,093.85/280,181.27 = 122,476.57/x
  3. Step 3: Cross multiply
    203,093.85x = 280,181.27 × 122,476.57
  4. Step 4: Simplify right side
    203,093.85x = 34,315,640,927.84
  5. Step 5: Solve for x
    x = 34,315,640,927.84/203,093.85
  6. Step 6: Final answer
    x = 168,964.46

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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.