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Finding the Fourth Proportional to 297,084.98, 409,977.46 and 161,118.88

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Solution

The fourth proportional to 297,084.98, 409,977.46 and 161,118.88 is: 222,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,084.98 : 409,977.46 = 161,118.88 : x
  2. Step 2: Convert to fraction form
    297,084.98/409,977.46 = 161,118.88/x
  3. Step 3: Cross multiply
    297,084.98x = 409,977.46 × 161,118.88
  4. Step 4: Simplify right side
    297,084.98x = 66,055,109,180.44
  5. Step 5: Solve for x
    x = 66,055,109,180.44/297,084.98
  6. Step 6: Final answer
    x = 222,344.16

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Why These Related Problems?

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