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Finding the Fourth Proportional to 165,198.83, 227,979.05 and 93,578.83

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Solution

The fourth proportional to 165,198.83, 227,979.05 and 93,578.83 is: 129,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,198.83 : 227,979.05 = 93,578.83 : x
  2. Step 2: Convert to fraction form
    165,198.83/227,979.05 = 93,578.83/x
  3. Step 3: Cross multiply
    165,198.83x = 227,979.05 × 93,578.83
  4. Step 4: Simplify right side
    165,198.83x = 21,334,012,763.51
  5. Step 5: Solve for x
    x = 21,334,012,763.51/165,198.83
  6. Step 6: Final answer
    x = 129,141.43

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1.5x scale

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.