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Finding the Fourth Proportional to 272,116.84, 408,176.07 and 82,578.73

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Solution

The fourth proportional to 272,116.84, 408,176.07 and 82,578.73 is: 123,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,116.84 : 408,176.07 = 82,578.73 : x
  2. Step 2: Convert to fraction form
    272,116.84/408,176.07 = 82,578.73/x
  3. Step 3: Cross multiply
    272,116.84x = 408,176.07 × 82,578.73
  4. Step 4: Simplify right side
    272,116.84x = 33,706,661,476.99
  5. Step 5: Solve for x
    x = 33,706,661,476.99/272,116.84
  6. Step 6: Final answer
    x = 123,868.34

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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.