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Finding the Fourth Proportional to 207,969.20, 311,953.80 and 199,221.20

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Solution

The fourth proportional to 207,969.20, 311,953.80 and 199,221.20 is: 298,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,969.20 : 311,953.80 = 199,221.20 : x
  2. Step 2: Convert to fraction form
    207,969.20/311,953.80 = 199,221.20/x
  3. Step 3: Cross multiply
    207,969.20x = 311,953.80 × 199,221.20
  4. Step 4: Simplify right side
    207,969.20x = 62,147,810,380.56
  5. Step 5: Solve for x
    x = 62,147,810,380.56/207,969.20
  6. Step 6: Final answer
    x = 298,831.80

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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.