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Finding the Fourth Proportional to 272,200.20, 408,300.30 and 197,161.80

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Solution

The fourth proportional to 272,200.20, 408,300.30 and 197,161.80 is: 295,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200.20 : 408,300.30 = 197,161.80 : x
  2. Step 2: Convert to fraction form
    272,200.20/408,300.30 = 197,161.80/x
  3. Step 3: Cross multiply
    272,200.20x = 408,300.30 × 197,161.80
  4. Step 4: Simplify right side
    272,200.20x = 80,501,222,088.54
  5. Step 5: Solve for x
    x = 80,501,222,088.54/272,200.20
  6. Step 6: Final answer
    x = 295,742.70

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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.