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Finding the Fourth Proportional to 269,611.32, 404,665.44 and 136,584.24

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Solution

The fourth proportional to 269,611.32, 404,665.44 and 136,584.24 is: 205,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,611.32 : 404,665.44 = 136,584.24 : x
  2. Step 2: Convert to fraction form
    269,611.32/404,665.44 = 136,584.24/x
  3. Step 3: Cross multiply
    269,611.32x = 404,665.44 × 136,584.24
  4. Step 4: Simplify right side
    269,611.32x = 55,270,921,576.67
  5. Step 5: Solve for x
    x = 55,270,921,576.67/269,611.32
  6. Step 6: Final answer
    x = 205,002.23

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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.