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Finding the Fourth Proportional to 149,568.56, 206,394 and 84,166.94

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Solution

The fourth proportional to 149,568.56, 206,394 and 84,166.94 is: 116,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568.56 : 206,394 = 84,166.94 : x
  2. Step 2: Convert to fraction form
    149,568.56/206,394 = 84,166.94/x
  3. Step 3: Cross multiply
    149,568.56x = 206,394 × 84,166.94
  4. Step 4: Simplify right side
    149,568.56x = 17,371,551,414.36
  5. Step 5: Solve for x
    x = 17,371,551,414.36/149,568.56
  6. Step 6: Final answer
    x = 116,144.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.