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Finding the Fourth Proportional to 135,666, 203,499.36 and 42,171.84

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Solution

The fourth proportional to 135,666, 203,499.36 and 42,171.84 is: 63,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,666 : 203,499.36 = 42,171.84 : x
  2. Step 2: Convert to fraction form
    135,666/203,499.36 = 42,171.84/x
  3. Step 3: Cross multiply
    135,666x = 203,499.36 × 42,171.84
  4. Step 4: Simplify right side
    135,666x = 8,581,942,450.02
  5. Step 5: Solve for x
    x = 8,581,942,450.02/135,666
  6. Step 6: Final answer
    x = 63,257.87

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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.