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Finding the Fourth Proportional to 201,548.25, 302,354.91 and 68,414.49

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Solution

The fourth proportional to 201,548.25, 302,354.91 and 68,414.49 is: 102,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,548.25 : 302,354.91 = 68,414.49 : x
  2. Step 2: Convert to fraction form
    201,548.25/302,354.91 = 68,414.49/x
  3. Step 3: Cross multiply
    201,548.25x = 302,354.91 × 68,414.49
  4. Step 4: Simplify right side
    201,548.25x = 20,685,456,966.65
  5. Step 5: Solve for x
    x = 20,685,456,966.65/201,548.25
  6. Step 6: Final answer
    x = 102,632.78

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