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Finding the Fourth Proportional to 195,498.08, 269,786.40 and 106,074.08

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Solution

The fourth proportional to 195,498.08, 269,786.40 and 106,074.08 is: 146,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,498.08 : 269,786.40 = 106,074.08 : x
  2. Step 2: Convert to fraction form
    195,498.08/269,786.40 = 106,074.08/x
  3. Step 3: Cross multiply
    195,498.08x = 269,786.40 × 106,074.08
  4. Step 4: Simplify right side
    195,498.08x = 28,617,344,176.51
  5. Step 5: Solve for x
    x = 28,617,344,176.51/195,498.08
  6. Step 6: Final answer
    x = 146,381.71

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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.