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Finding the Fourth Proportional to 269,563.80, 404,604.90 and 136,594.20

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Solution

The fourth proportional to 269,563.80, 404,604.90 and 136,594.20 is: 205,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,563.80 : 404,604.90 = 136,594.20 : x
  2. Step 2: Convert to fraction form
    269,563.80/404,604.90 = 136,594.20/x
  3. Step 3: Cross multiply
    269,563.80x = 404,604.90 × 136,594.20
  4. Step 4: Simplify right side
    269,563.80x = 55,266,682,631.58
  5. Step 5: Solve for x
    x = 55,266,682,631.58/269,563.80
  6. Step 6: Final answer
    x = 205,022.64

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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.