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Finding the Fourth Proportional to 202,159.40, 303,093.30 and 132,078.20

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Solution

The fourth proportional to 202,159.40, 303,093.30 and 132,078.20 is: 198,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,159.40 : 303,093.30 = 132,078.20 : x
  2. Step 2: Convert to fraction form
    202,159.40/303,093.30 = 132,078.20/x
  3. Step 3: Cross multiply
    202,159.40x = 303,093.30 × 132,078.20
  4. Step 4: Simplify right side
    202,159.40x = 40,032,017,496.06
  5. Step 5: Solve for x
    x = 40,032,017,496.06/202,159.40
  6. Step 6: Final answer
    x = 198,022.04

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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.