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Finding the Fourth Proportional to 269,959.36, 404,928.96 and 82,966

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Solution

The fourth proportional to 269,959.36, 404,928.96 and 82,966 is: 124,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,959.36 : 404,928.96 = 82,966 : x
  2. Step 2: Convert to fraction form
    269,959.36/404,928.96 = 82,966/x
  3. Step 3: Cross multiply
    269,959.36x = 404,928.96 × 82,966
  4. Step 4: Simplify right side
    269,959.36x = 33,595,336,095.36
  5. Step 5: Solve for x
    x = 33,595,336,095.36/269,959.36
  6. Step 6: Final answer
    x = 124,445.90

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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.