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Finding the Fourth Proportional to 114,434.70, 158,049.19 and 78,073.73

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Solution

The fourth proportional to 114,434.70, 158,049.19 and 78,073.73 is: 107,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,434.70 : 158,049.19 = 78,073.73 : x
  2. Step 2: Convert to fraction form
    114,434.70/158,049.19 = 78,073.73/x
  3. Step 3: Cross multiply
    114,434.70x = 158,049.19 × 78,073.73
  4. Step 4: Simplify right side
    114,434.70x = 12,339,489,786.78
  5. Step 5: Solve for x
    x = 12,339,489,786.78/114,434.70
  6. Step 6: Final answer
    x = 107,829.97

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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.