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Finding the Fourth Proportional to 120,594.52, 180,893.31 and 45,694.54

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Solution

The fourth proportional to 120,594.52, 180,893.31 and 45,694.54 is: 68,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,594.52 : 180,893.31 = 45,694.54 : x
  2. Step 2: Convert to fraction form
    120,594.52/180,893.31 = 45,694.54/x
  3. Step 3: Cross multiply
    120,594.52x = 180,893.31 × 45,694.54
  4. Step 4: Simplify right side
    120,594.52x = 8,265,836,589.53
  5. Step 5: Solve for x
    x = 8,265,836,589.53/120,594.52
  6. Step 6: Final answer
    x = 68,542.39

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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.