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Finding the Fourth Proportional to 203,353.13, 280,634.52 and 122,764.92

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Solution

The fourth proportional to 203,353.13, 280,634.52 and 122,764.92 is: 169,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,353.13 : 280,634.52 = 122,764.92 : x
  2. Step 2: Convert to fraction form
    203,353.13/280,634.52 = 122,764.92/x
  3. Step 3: Cross multiply
    203,353.13x = 280,634.52 × 122,764.92
  4. Step 4: Simplify right side
    203,353.13x = 34,452,073,805.03
  5. Step 5: Solve for x
    x = 34,452,073,805.03/203,353.13
  6. Step 6: Final answer
    x = 169,419.93

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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.