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Finding the Fourth Proportional to 203,282.82, 280,546.92 and 112,647.84

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Solution

The fourth proportional to 203,282.82, 280,546.92 and 112,647.84 is: 155,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,282.82 : 280,546.92 = 112,647.84 : x
  2. Step 2: Convert to fraction form
    203,282.82/280,546.92 = 112,647.84/x
  3. Step 3: Cross multiply
    203,282.82x = 280,546.92 × 112,647.84
  4. Step 4: Simplify right side
    203,282.82x = 31,603,004,556.65
  5. Step 5: Solve for x
    x = 31,603,004,556.65/203,282.82
  6. Step 6: Final answer
    x = 155,463.23

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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.