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Finding the Fourth Proportional to 219,540.32, 329,046.16 and 101,049.44

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Solution

The fourth proportional to 219,540.32, 329,046.16 and 101,049.44 is: 151,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,540.32 : 329,046.16 = 101,049.44 : x
  2. Step 2: Convert to fraction form
    219,540.32/329,046.16 = 101,049.44/x
  3. Step 3: Cross multiply
    219,540.32x = 329,046.16 × 101,049.44
  4. Step 4: Simplify right side
    219,540.32x = 33,249,930,202.15
  5. Step 5: Solve for x
    x = 33,249,930,202.15/219,540.32
  6. Step 6: Final answer
    x = 151,452.50

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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.