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Finding the Fourth Proportional to 195,502.08, 269,791.92 and 106,078.08

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Solution

The fourth proportional to 195,502.08, 269,791.92 and 106,078.08 is: 146,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,502.08 : 269,791.92 = 106,078.08 : x
  2. Step 2: Convert to fraction form
    195,502.08/269,791.92 = 106,078.08/x
  3. Step 3: Cross multiply
    195,502.08x = 269,791.92 × 106,078.08
  4. Step 4: Simplify right side
    195,502.08x = 28,619,008,873.11
  5. Step 5: Solve for x
    x = 28,619,008,873.11/195,502.08
  6. Step 6: Final answer
    x = 146,387.23

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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.