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Finding the Fourth Proportional to 168,205.80, 252,659.70 and 141,961.80

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Solution

The fourth proportional to 168,205.80, 252,659.70 and 141,961.80 is: 213,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,205.80 : 252,659.70 = 141,961.80 : x
  2. Step 2: Convert to fraction form
    168,205.80/252,659.70 = 141,961.80/x
  3. Step 3: Cross multiply
    168,205.80x = 252,659.70 × 141,961.80
  4. Step 4: Simplify right side
    168,205.80x = 35,868,025,799.46
  5. Step 5: Solve for x
    x = 35,868,025,799.46/168,205.80
  6. Step 6: Final answer
    x = 213,238.94

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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.