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Finding the Fourth Proportional to 204,692.82, 282,478.01 and 112,815.38

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Solution

The fourth proportional to 204,692.82, 282,478.01 and 112,815.38 is: 155,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,692.82 : 282,478.01 = 112,815.38 : x
  2. Step 2: Convert to fraction form
    204,692.82/282,478.01 = 112,815.38/x
  3. Step 3: Cross multiply
    204,692.82x = 282,478.01 × 112,815.38
  4. Step 4: Simplify right side
    204,692.82x = 31,867,864,181.91
  5. Step 5: Solve for x
    x = 31,867,864,181.91/204,692.82
  6. Step 6: Final answer
    x = 155,686.29

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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.