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Finding the Fourth Proportional to 120,497.44, 180,747.60 and 57,324.28

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Solution

The fourth proportional to 120,497.44, 180,747.60 and 57,324.28 is: 85,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,497.44 : 180,747.60 = 57,324.28 : x
  2. Step 2: Convert to fraction form
    120,497.44/180,747.60 = 57,324.28/x
  3. Step 3: Cross multiply
    120,497.44x = 180,747.60 × 57,324.28
  4. Step 4: Simplify right side
    120,497.44x = 10,361,226,031.73
  5. Step 5: Solve for x
    x = 10,361,226,031.73/120,497.44
  6. Step 6: Final answer
    x = 85,987.11

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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.