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Finding the Fourth Proportional to 203,212.80, 280,405.89 and 112,546.38

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Solution

The fourth proportional to 203,212.80, 280,405.89 and 112,546.38 is: 155,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,212.80 : 280,405.89 = 112,546.38 : x
  2. Step 2: Convert to fraction form
    203,212.80/280,405.89 = 112,546.38/x
  3. Step 3: Cross multiply
    203,212.80x = 280,405.89 × 112,546.38
  4. Step 4: Simplify right side
    203,212.80x = 31,558,667,850.18
  5. Step 5: Solve for x
    x = 31,558,667,850.18/203,212.80
  6. Step 6: Final answer
    x = 155,298.62

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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.