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Finding the Fourth Proportional to 259,942.80, 389,622.60 and 133,534.20

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Solution

The fourth proportional to 259,942.80, 389,622.60 and 133,534.20 is: 200,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,942.80 : 389,622.60 = 133,534.20 : x
  2. Step 2: Convert to fraction form
    259,942.80/389,622.60 = 133,534.20/x
  3. Step 3: Cross multiply
    259,942.80x = 389,622.60 × 133,534.20
  4. Step 4: Simplify right side
    259,942.80x = 52,027,942,192.92
  5. Step 5: Solve for x
    x = 52,027,942,192.92/259,942.80
  6. Step 6: Final answer
    x = 200,151.50

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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.