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Finding the Fourth Proportional to 195,765.84, 270,175.80 and 109,739.44

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Solution

The fourth proportional to 195,765.84, 270,175.80 and 109,739.44 is: 151,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,765.84 : 270,175.80 = 109,739.44 : x
  2. Step 2: Convert to fraction form
    195,765.84/270,175.80 = 109,739.44/x
  3. Step 3: Cross multiply
    195,765.84x = 270,175.80 × 109,739.44
  4. Step 4: Simplify right side
    195,765.84x = 29,648,940,993.55
  5. Step 5: Solve for x
    x = 29,648,940,993.55/195,765.84
  6. Step 6: Final answer
    x = 151,451.04

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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.