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Finding the Fourth Proportional to 269,220.80, 403,827.60 and 82,233.20

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Solution

The fourth proportional to 269,220.80, 403,827.60 and 82,233.20 is: 123,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,220.80 : 403,827.60 = 82,233.20 : x
  2. Step 2: Convert to fraction form
    269,220.80/403,827.60 = 82,233.20/x
  3. Step 3: Cross multiply
    269,220.80x = 403,827.60 × 82,233.20
  4. Step 4: Simplify right side
    269,220.80x = 33,208,035,796.32
  5. Step 5: Solve for x
    x = 33,208,035,796.32/269,220.80
  6. Step 6: Final answer
    x = 123,348.70

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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.