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Finding the Fourth Proportional to 269,274.97, 403,994.49 and 127,229.32

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Solution

The fourth proportional to 269,274.97, 403,994.49 and 127,229.32 is: 190,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,274.97 : 403,994.49 = 127,229.32 : x
  2. Step 2: Convert to fraction form
    269,274.97/403,994.49 = 127,229.32/x
  3. Step 3: Cross multiply
    269,274.97x = 403,994.49 × 127,229.32
  4. Step 4: Simplify right side
    269,274.97x = 51,399,944,246.45
  5. Step 5: Solve for x
    x = 51,399,944,246.45/269,274.97
  6. Step 6: Final answer
    x = 190,882.74

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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.