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Finding the Fourth Proportional to 201,712.82, 302,481.75 and 68,557.33

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Solution

The fourth proportional to 201,712.82, 302,481.75 and 68,557.33 is: 102,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,712.82 : 302,481.75 = 68,557.33 : x
  2. Step 2: Convert to fraction form
    201,712.82/302,481.75 = 68,557.33/x
  3. Step 3: Cross multiply
    201,712.82x = 302,481.75 × 68,557.33
  4. Step 4: Simplify right side
    201,712.82x = 20,737,340,397.52
  5. Step 5: Solve for x
    x = 20,737,340,397.52/201,712.82
  6. Step 6: Final answer
    x = 102,806.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.