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Finding the Fourth Proportional to 204,163.84, 306,252.56 and 71,055.20

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Solution

The fourth proportional to 204,163.84, 306,252.56 and 71,055.20 is: 106,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,163.84 : 306,252.56 = 71,055.20 : x
  2. Step 2: Convert to fraction form
    204,163.84/306,252.56 = 71,055.20/x
  3. Step 3: Cross multiply
    204,163.84x = 306,252.56 × 71,055.20
  4. Step 4: Simplify right side
    204,163.84x = 21,760,836,901.31
  5. Step 5: Solve for x
    x = 21,760,836,901.31/204,163.84
  6. Step 6: Final answer
    x = 106,585.17

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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.