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Finding the Fourth Proportional to 269,559.40, 404,282.40 and 136,314.40

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Solution

The fourth proportional to 269,559.40, 404,282.40 and 136,314.40 is: 204,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,559.40 : 404,282.40 = 136,314.40 : x
  2. Step 2: Convert to fraction form
    269,559.40/404,282.40 = 136,314.40/x
  3. Step 3: Cross multiply
    269,559.40x = 404,282.40 × 136,314.40
  4. Step 4: Simplify right side
    269,559.40x = 55,109,512,786.56
  5. Step 5: Solve for x
    x = 55,109,512,786.56/269,559.40
  6. Step 6: Final answer
    x = 204,442.93

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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.