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Finding the Fourth Proportional to 195,498.72, 269,786.88 and 106,074.72

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Solution

The fourth proportional to 195,498.72, 269,786.88 and 106,074.72 is: 146,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,498.72 : 269,786.88 = 106,074.72 : x
  2. Step 2: Convert to fraction form
    195,498.72/269,786.88 = 106,074.72/x
  3. Step 3: Cross multiply
    195,498.72x = 269,786.88 × 106,074.72
  4. Step 4: Simplify right side
    195,498.72x = 28,617,567,755.67
  5. Step 5: Solve for x
    x = 28,617,567,755.67/195,498.72
  6. Step 6: Final answer
    x = 146,382.38

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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.