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Finding the Fourth Proportional to 297,134.46, 410,043.16 and 161,168.06

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Solution

The fourth proportional to 297,134.46, 410,043.16 and 161,168.06 is: 222,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,134.46 : 410,043.16 = 161,168.06 : x
  2. Step 2: Convert to fraction form
    297,134.46/410,043.16 = 161,168.06/x
  3. Step 3: Cross multiply
    297,134.46x = 410,043.16 × 161,168.06
  4. Step 4: Simplify right side
    297,134.46x = 66,085,861,840.04
  5. Step 5: Solve for x
    x = 66,085,861,840.04/297,134.46
  6. Step 6: Final answer
    x = 222,410.63

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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.