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Finding the Fourth Proportional to 180,357.62, 270,575.31 and 54,007.88

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Solution

The fourth proportional to 180,357.62, 270,575.31 and 54,007.88 is: 81,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,357.62 : 270,575.31 = 54,007.88 : x
  2. Step 2: Convert to fraction form
    180,357.62/270,575.31 = 54,007.88/x
  3. Step 3: Cross multiply
    180,357.62x = 270,575.31 × 54,007.88
  4. Step 4: Simplify right side
    180,357.62x = 14,613,198,873.44
  5. Step 5: Solve for x
    x = 14,613,198,873.44/180,357.62
  6. Step 6: Final answer
    x = 81,023.46

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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.