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Finding the Fourth Proportional to 202,187.40, 303,135.30 and 132,106.20

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Solution

The fourth proportional to 202,187.40, 303,135.30 and 132,106.20 is: 198,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,187.40 : 303,135.30 = 132,106.20 : x
  2. Step 2: Convert to fraction form
    202,187.40/303,135.30 = 132,106.20/x
  3. Step 3: Cross multiply
    202,187.40x = 303,135.30 × 132,106.20
  4. Step 4: Simplify right side
    202,187.40x = 40,046,052,568.86
  5. Step 5: Solve for x
    x = 40,046,052,568.86/202,187.40
  6. Step 6: Final answer
    x = 198,064.04

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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.