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Finding the Fourth Proportional to 193,998.88, 291,018.57 and 53,757.64

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Solution

The fourth proportional to 193,998.88, 291,018.57 and 53,757.64 is: 80,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,998.88 : 291,018.57 = 53,757.64 : x
  2. Step 2: Convert to fraction form
    193,998.88/291,018.57 = 53,757.64/x
  3. Step 3: Cross multiply
    193,998.88x = 291,018.57 × 53,757.64
  4. Step 4: Simplify right side
    193,998.88x = 15,644,471,519.37
  5. Step 5: Solve for x
    x = 15,644,471,519.37/193,998.88
  6. Step 6: Final answer
    x = 80,642.07

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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.