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Finding the Fourth Proportional to 203,189.39, 280,405.90 and 115,972.75

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Solution

The fourth proportional to 203,189.39, 280,405.90 and 115,972.75 is: 160,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,189.39 : 280,405.90 = 115,972.75 : x
  2. Step 2: Convert to fraction form
    203,189.39/280,405.90 = 115,972.75/x
  3. Step 3: Cross multiply
    203,189.39x = 280,405.90 × 115,972.75
  4. Step 4: Simplify right side
    203,189.39x = 32,519,443,440.38
  5. Step 5: Solve for x
    x = 32,519,443,440.38/203,189.39
  6. Step 6: Final answer
    x = 160,044.99

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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.