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Finding the Fourth Proportional to 204,414.96, 306,673.47 and 71,297.13

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Solution

The fourth proportional to 204,414.96, 306,673.47 and 71,297.13 is: 106,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,414.96 : 306,673.47 = 71,297.13 : x
  2. Step 2: Convert to fraction form
    204,414.96/306,673.47 = 71,297.13/x
  3. Step 3: Cross multiply
    204,414.96x = 306,673.47 × 71,297.13
  4. Step 4: Simplify right side
    204,414.96x = 21,864,938,258.14
  5. Step 5: Solve for x
    x = 21,864,938,258.14/204,414.96
  6. Step 6: Final answer
    x = 106,963.49

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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.