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Finding the Fourth Proportional to 269,255.39, 403,955.81 and 82,261.79

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Solution

The fourth proportional to 269,255.39, 403,955.81 and 82,261.79 is: 123,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,255.39 : 403,955.81 = 82,261.79 : x
  2. Step 2: Convert to fraction form
    269,255.39/403,955.81 = 82,261.79/x
  3. Step 3: Cross multiply
    269,255.39x = 403,955.81 × 82,261.79
  4. Step 4: Simplify right side
    269,255.39x = 33,230,127,600.19
  5. Step 5: Solve for x
    x = 33,230,127,600.19/269,255.39
  6. Step 6: Final answer
    x = 123,414.90

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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.