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Finding the Fourth Proportional to 156,589.38, 216,093.09 and 84,969.42

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Solution

The fourth proportional to 156,589.38, 216,093.09 and 84,969.42 is: 117,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,589.38 : 216,093.09 = 84,969.42 : x
  2. Step 2: Convert to fraction form
    156,589.38/216,093.09 = 84,969.42/x
  3. Step 3: Cross multiply
    156,589.38x = 216,093.09 × 84,969.42
  4. Step 4: Simplify right side
    156,589.38x = 18,361,304,523.31
  5. Step 5: Solve for x
    x = 18,361,304,523.31/156,589.38
  6. Step 6: Final answer
    x = 117,257.66

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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.