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Finding the Fourth Proportional to 180,445.26, 270,569.97 and 54,067.98

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Solution

The fourth proportional to 180,445.26, 270,569.97 and 54,067.98 is: 81,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,445.26 : 270,569.97 = 54,067.98 : x
  2. Step 2: Convert to fraction form
    180,445.26/270,569.97 = 54,067.98/x
  3. Step 3: Cross multiply
    180,445.26x = 270,569.97 × 54,067.98
  4. Step 4: Simplify right side
    180,445.26x = 14,629,171,726.56
  5. Step 5: Solve for x
    x = 14,629,171,726.56/180,445.26
  6. Step 6: Final answer
    x = 81,072.63

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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.