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Finding the Fourth Proportional to 149,563.30, 206,398 and 81,581.74

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Solution

The fourth proportional to 149,563.30, 206,398 and 81,581.74 is: 112,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563.30 : 206,398 = 81,581.74 : x
  2. Step 2: Convert to fraction form
    149,563.30/206,398 = 81,581.74/x
  3. Step 3: Cross multiply
    149,563.30x = 206,398 × 81,581.74
  4. Step 4: Simplify right side
    149,563.30x = 16,838,306,940.53
  5. Step 5: Solve for x
    x = 16,838,306,940.53/149,563.30
  6. Step 6: Final answer
    x = 112,583.15

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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.