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Finding the Fourth Proportional to 203,311.56, 280,562.43 and 117,274.11

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Solution

The fourth proportional to 203,311.56, 280,562.43 and 117,274.11 is: 161,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,311.56 : 280,562.43 = 117,274.11 : x
  2. Step 2: Convert to fraction form
    203,311.56/280,562.43 = 117,274.11/x
  3. Step 3: Cross multiply
    203,311.56x = 280,562.43 × 117,274.11
  4. Step 4: Simplify right side
    203,311.56x = 32,902,709,277.69
  5. Step 5: Solve for x
    x = 32,902,709,277.69/203,311.56
  6. Step 6: Final answer
    x = 161,833.93

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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.