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Finding the Fourth Proportional to 180,006.60, 269,982.11 and 61,650.72

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Solution

The fourth proportional to 180,006.60, 269,982.11 and 61,650.72 is: 92,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,006.60 : 269,982.11 = 61,650.72 : x
  2. Step 2: Convert to fraction form
    180,006.60/269,982.11 = 61,650.72/x
  3. Step 3: Cross multiply
    180,006.60x = 269,982.11 × 61,650.72
  4. Step 4: Simplify right side
    180,006.60x = 16,644,591,622.75
  5. Step 5: Solve for x
    x = 16,644,591,622.75/180,006.60
  6. Step 6: Final answer
    x = 92,466.56

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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.