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Finding the Fourth Proportional to 269,880.68, 404,961.10 and 110,073.84

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Solution

The fourth proportional to 269,880.68, 404,961.10 and 110,073.84 is: 165,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,880.68 : 404,961.10 = 110,073.84 : x
  2. Step 2: Convert to fraction form
    269,880.68/404,961.10 = 110,073.84/x
  3. Step 3: Cross multiply
    269,880.68x = 404,961.10 × 110,073.84
  4. Step 4: Simplify right side
    269,880.68x = 44,575,623,327.62
  5. Step 5: Solve for x
    x = 44,575,623,327.62/269,880.68
  6. Step 6: Final answer
    x = 165,167.89

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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.