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Finding the Fourth Proportional to 269,566.40, 404,292.90 and 136,321.40

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Solution

The fourth proportional to 269,566.40, 404,292.90 and 136,321.40 is: 204,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,566.40 : 404,292.90 = 136,321.40 : x
  2. Step 2: Convert to fraction form
    269,566.40/404,292.90 = 136,321.40/x
  3. Step 3: Cross multiply
    269,566.40x = 404,292.90 × 136,321.40
  4. Step 4: Simplify right side
    269,566.40x = 55,113,774,138.06
  5. Step 5: Solve for x
    x = 55,113,774,138.06/269,566.40
  6. Step 6: Final answer
    x = 204,453.43

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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.