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Finding the Fourth Proportional to 135,906.80, 203,860.20 and 82,762.70

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Solution

The fourth proportional to 135,906.80, 203,860.20 and 82,762.70 is: 124,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,906.80 : 203,860.20 = 82,762.70 : x
  2. Step 2: Convert to fraction form
    135,906.80/203,860.20 = 82,762.70/x
  3. Step 3: Cross multiply
    135,906.80x = 203,860.20 × 82,762.70
  4. Step 4: Simplify right side
    135,906.80x = 16,872,020,574.54
  5. Step 5: Solve for x
    x = 16,872,020,574.54/135,906.80
  6. Step 6: Final answer
    x = 124,144.05

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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.