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Finding the Fourth Proportional to 134,593.86, 201,632.06 and 75,249.56

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Solution

The fourth proportional to 134,593.86, 201,632.06 and 75,249.56 is: 112,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,593.86 : 201,632.06 = 75,249.56 : x
  2. Step 2: Convert to fraction form
    134,593.86/201,632.06 = 75,249.56/x
  3. Step 3: Cross multiply
    134,593.86x = 201,632.06 × 75,249.56
  4. Step 4: Simplify right side
    134,593.86x = 15,172,723,796.89
  5. Step 5: Solve for x
    x = 15,172,723,796.89/134,593.86
  6. Step 6: Final answer
    x = 112,729.69

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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.