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Finding the Fourth Proportional to 204,167.84, 306,258.56 and 71,059.20

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Solution

The fourth proportional to 204,167.84, 306,258.56 and 71,059.20 is: 106,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,167.84 : 306,258.56 = 71,059.20 : x
  2. Step 2: Convert to fraction form
    204,167.84/306,258.56 = 71,059.20/x
  3. Step 3: Cross multiply
    204,167.84x = 306,258.56 × 71,059.20
  4. Step 4: Simplify right side
    204,167.84x = 21,762,488,266.75
  5. Step 5: Solve for x
    x = 21,762,488,266.75/204,167.84
  6. Step 6: Final answer
    x = 106,591.17

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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.