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Finding the Fourth Proportional to 231,853.80, 347,694.30 and 161,524.20

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Solution

The fourth proportional to 231,853.80, 347,694.30 and 161,524.20 is: 242,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,853.80 : 347,694.30 = 161,524.20 : x
  2. Step 2: Convert to fraction form
    231,853.80/347,694.30 = 161,524.20/x
  3. Step 3: Cross multiply
    231,853.80x = 347,694.30 × 161,524.20
  4. Step 4: Simplify right side
    231,853.80x = 56,161,043,652.06
  5. Step 5: Solve for x
    x = 56,161,043,652.06/231,853.80
  6. Step 6: Final answer
    x = 242,226.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.