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Finding the Fourth Proportional to 133,846.68, 200,770.38 and 45,162.48

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Solution

The fourth proportional to 133,846.68, 200,770.38 and 45,162.48 is: 67,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,846.68 : 200,770.38 = 45,162.48 : x
  2. Step 2: Convert to fraction form
    133,846.68/200,770.38 = 45,162.48/x
  3. Step 3: Cross multiply
    133,846.68x = 200,770.38 × 45,162.48
  4. Step 4: Simplify right side
    133,846.68x = 9,067,288,271.34
  5. Step 5: Solve for x
    x = 9,067,288,271.34/133,846.68
  6. Step 6: Final answer
    x = 67,743.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.