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Finding the Fourth Proportional to 135,198.80, 202,409.40 and 82,710.80

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Solution

The fourth proportional to 135,198.80, 202,409.40 and 82,710.80 is: 123,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,198.80 : 202,409.40 = 82,710.80 : x
  2. Step 2: Convert to fraction form
    135,198.80/202,409.40 = 82,710.80/x
  3. Step 3: Cross multiply
    135,198.80x = 202,409.40 × 82,710.80
  4. Step 4: Simplify right side
    135,198.80x = 16,741,443,401.52
  5. Step 5: Solve for x
    x = 16,741,443,401.52/135,198.80
  6. Step 6: Final answer
    x = 123,828.34

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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.