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Finding the Fourth Proportional to 195,750, 270,135.27 and 106,326

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Solution

The fourth proportional to 195,750, 270,135.27 and 106,326 is: 146,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,750 : 270,135.27 = 106,326 : x
  2. Step 2: Convert to fraction form
    195,750/270,135.27 = 106,326/x
  3. Step 3: Cross multiply
    195,750x = 270,135.27 × 106,326
  4. Step 4: Simplify right side
    195,750x = 28,722,402,718.02
  5. Step 5: Solve for x
    x = 28,722,402,718.02/195,750
  6. Step 6: Final answer
    x = 146,730.03

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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.