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Finding the Fourth Proportional to 272,057.80, 408,086.70 and 197,408.20

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Solution

The fourth proportional to 272,057.80, 408,086.70 and 197,408.20 is: 296,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,057.80 : 408,086.70 = 197,408.20 : x
  2. Step 2: Convert to fraction form
    272,057.80/408,086.70 = 197,408.20/x
  3. Step 3: Cross multiply
    272,057.80x = 408,086.70 × 197,408.20
  4. Step 4: Simplify right side
    272,057.80x = 80,559,660,890.94
  5. Step 5: Solve for x
    x = 80,559,660,890.94/272,057.80
  6. Step 6: Final answer
    x = 296,112.30

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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.