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Finding the Fourth Proportional to 129,067.56, 178,133.94 and 75,352.38

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Solution

The fourth proportional to 129,067.56, 178,133.94 and 75,352.38 is: 103,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,067.56 : 178,133.94 = 75,352.38 : x
  2. Step 2: Convert to fraction form
    129,067.56/178,133.94 = 75,352.38/x
  3. Step 3: Cross multiply
    129,067.56x = 178,133.94 × 75,352.38
  4. Step 4: Simplify right side
    129,067.56x = 13,422,816,337.78
  5. Step 5: Solve for x
    x = 13,422,816,337.78/129,067.56
  6. Step 6: Final answer
    x = 103,998.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.