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Finding the Fourth Proportional to 213,339.45, 320,021.46 and 80,220.86

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Solution

The fourth proportional to 213,339.45, 320,021.46 and 80,220.86 is: 120,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,339.45 : 320,021.46 = 80,220.86 : x
  2. Step 2: Convert to fraction form
    213,339.45/320,021.46 = 80,220.86/x
  3. Step 3: Cross multiply
    213,339.45x = 320,021.46 × 80,220.86
  4. Step 4: Simplify right side
    213,339.45x = 25,672,396,038.80
  5. Step 5: Solve for x
    x = 25,672,396,038.80/213,339.45
  6. Step 6: Final answer
    x = 120,335.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.