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Finding the Fourth Proportional to 203,372.46, 280,664.31 and 117,299.43

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Solution

The fourth proportional to 203,372.46, 280,664.31 and 117,299.43 is: 161,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,372.46 : 280,664.31 = 117,299.43 : x
  2. Step 2: Convert to fraction form
    203,372.46/280,664.31 = 117,299.43/x
  3. Step 3: Cross multiply
    203,372.46x = 280,664.31 × 117,299.43
  4. Step 4: Simplify right side
    203,372.46x = 32,921,763,584.34
  5. Step 5: Solve for x
    x = 32,921,763,584.34/203,372.46
  6. Step 6: Final answer
    x = 161,879.16

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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.