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Finding the Fourth Proportional to 269,215.40, 403,823.10 and 82,202.60

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Solution

The fourth proportional to 269,215.40, 403,823.10 and 82,202.60 is: 123,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,215.40 : 403,823.10 = 82,202.60 : x
  2. Step 2: Convert to fraction form
    269,215.40/403,823.10 = 82,202.60/x
  3. Step 3: Cross multiply
    269,215.40x = 403,823.10 × 82,202.60
  4. Step 4: Simplify right side
    269,215.40x = 33,195,308,760.06
  5. Step 5: Solve for x
    x = 33,195,308,760.06/269,215.40
  6. Step 6: Final answer
    x = 123,303.90

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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.