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Finding the Fourth Proportional to 269,241.60, 403,881.60 and 82,252.80

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Solution

The fourth proportional to 269,241.60, 403,881.60 and 82,252.80 is: 123,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,241.60 : 403,881.60 = 82,252.80 : x
  2. Step 2: Convert to fraction form
    269,241.60/403,881.60 = 82,252.80/x
  3. Step 3: Cross multiply
    269,241.60x = 403,881.60 × 82,252.80
  4. Step 4: Simplify right side
    269,241.60x = 33,220,392,468.48
  5. Step 5: Solve for x
    x = 33,220,392,468.48/269,241.60
  6. Step 6: Final answer
    x = 123,385.07

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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.