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Finding the Fourth Proportional to 202,540.80, 303,407.46 and 122,536.20

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Solution

The fourth proportional to 202,540.80, 303,407.46 and 122,536.20 is: 183,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,540.80 : 303,407.46 = 122,536.20 : x
  2. Step 2: Convert to fraction form
    202,540.80/303,407.46 = 122,536.20/x
  3. Step 3: Cross multiply
    202,540.80x = 303,407.46 × 122,536.20
  4. Step 4: Simplify right side
    202,540.80x = 37,178,397,200.05
  5. Step 5: Solve for x
    x = 37,178,397,200.05/202,540.80
  6. Step 6: Final answer
    x = 183,560.04

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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.