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Finding the Fourth Proportional to 114,105.29, 171,198.48 and 50,919.66

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Solution

The fourth proportional to 114,105.29, 171,198.48 and 50,919.66 is: 76,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,105.29 : 171,198.48 = 50,919.66 : x
  2. Step 2: Convert to fraction form
    114,105.29/171,198.48 = 50,919.66/x
  3. Step 3: Cross multiply
    114,105.29x = 171,198.48 × 50,919.66
  4. Step 4: Simplify right side
    114,105.29x = 8,717,368,394.12
  5. Step 5: Solve for x
    x = 8,717,368,394.12/114,105.29
  6. Step 6: Final answer
    x = 76,397.59

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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.