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Finding the Fourth Proportional to 195,879.91, 293,902.88 and 107,029.61

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Solution

The fourth proportional to 195,879.91, 293,902.88 and 107,029.61 is: 160,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,879.91 : 293,902.88 = 107,029.61 : x
  2. Step 2: Convert to fraction form
    195,879.91/293,902.88 = 107,029.61/x
  3. Step 3: Cross multiply
    195,879.91x = 293,902.88 × 107,029.61
  4. Step 4: Simplify right side
    195,879.91x = 31,456,310,624.28
  5. Step 5: Solve for x
    x = 31,456,310,624.28/195,879.91
  6. Step 6: Final answer
    x = 160,589.77

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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.