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Finding the Fourth Proportional to 140,790.38, 194,290.72 and 84,201.75

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Solution

The fourth proportional to 140,790.38, 194,290.72 and 84,201.75 is: 116,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,790.38 : 194,290.72 = 84,201.75 : x
  2. Step 2: Convert to fraction form
    140,790.38/194,290.72 = 84,201.75/x
  3. Step 3: Cross multiply
    140,790.38x = 194,290.72 × 84,201.75
  4. Step 4: Simplify right side
    140,790.38x = 16,359,618,422.26
  5. Step 5: Solve for x
    x = 16,359,618,422.26/140,790.38
  6. Step 6: Final answer
    x = 116,198.42

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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.