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Finding the Fourth Proportional to 180,452.58, 270,721.80 and 54,103.38

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Solution

The fourth proportional to 180,452.58, 270,721.80 and 54,103.38 is: 81,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,452.58 : 270,721.80 = 54,103.38 : x
  2. Step 2: Convert to fraction form
    180,452.58/270,721.80 = 54,103.38/x
  3. Step 3: Cross multiply
    180,452.58x = 270,721.80 × 54,103.38
  4. Step 4: Simplify right side
    180,452.58x = 14,646,964,419.68
  5. Step 5: Solve for x
    x = 14,646,964,419.68/180,452.58
  6. Step 6: Final answer
    x = 81,167.94

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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.