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Finding the Fourth Proportional to 132,757.87, 199,173.71 and 57,884.56

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Solution

The fourth proportional to 132,757.87, 199,173.71 and 57,884.56 is: 86,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,757.87 : 199,173.71 = 57,884.56 : x
  2. Step 2: Convert to fraction form
    132,757.87/199,173.71 = 57,884.56/x
  3. Step 3: Cross multiply
    132,757.87x = 199,173.71 × 57,884.56
  4. Step 4: Simplify right side
    132,757.87x = 11,529,082,566.92
  5. Step 5: Solve for x
    x = 11,529,082,566.92/132,757.87
  6. Step 6: Final answer
    x = 86,842.93

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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.