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Finding the Fourth Proportional to 195,924.82, 270,405.80 and 119,488.28

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Solution

The fourth proportional to 195,924.82, 270,405.80 and 119,488.28 is: 164,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,924.82 : 270,405.80 = 119,488.28 : x
  2. Step 2: Convert to fraction form
    195,924.82/270,405.80 = 119,488.28/x
  3. Step 3: Cross multiply
    195,924.82x = 270,405.80 × 119,488.28
  4. Step 4: Simplify right side
    195,924.82x = 32,310,323,944.02
  5. Step 5: Solve for x
    x = 32,310,323,944.02/195,924.82
  6. Step 6: Final answer
    x = 164,911.85

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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.