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Finding the Fourth Proportional to 202,227.40, 303,195.30 and 132,146.20

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Solution

The fourth proportional to 202,227.40, 303,195.30 and 132,146.20 is: 198,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,227.40 : 303,195.30 = 132,146.20 : x
  2. Step 2: Convert to fraction form
    202,227.40/303,195.30 = 132,146.20/x
  3. Step 3: Cross multiply
    202,227.40x = 303,195.30 × 132,146.20
  4. Step 4: Simplify right side
    202,227.40x = 40,066,106,752.86
  5. Step 5: Solve for x
    x = 40,066,106,752.86/202,227.40
  6. Step 6: Final answer
    x = 198,124.03

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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.