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Finding the Fourth Proportional to 269,958.36, 404,927.46 and 82,965

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Solution

The fourth proportional to 269,958.36, 404,927.46 and 82,965 is: 124,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,958.36 : 404,927.46 = 82,965 : x
  2. Step 2: Convert to fraction form
    269,958.36/404,927.46 = 82,965/x
  3. Step 3: Cross multiply
    269,958.36x = 404,927.46 × 82,965
  4. Step 4: Simplify right side
    269,958.36x = 33,594,806,718.90
  5. Step 5: Solve for x
    x = 33,594,806,718.90/269,958.36
  6. Step 6: Final answer
    x = 124,444.40

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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.