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Finding the Fourth Proportional to 195,728.25, 270,105 and 106,304.25

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Solution

The fourth proportional to 195,728.25, 270,105 and 106,304.25 is: 146,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,728.25 : 270,105 = 106,304.25 : x
  2. Step 2: Convert to fraction form
    195,728.25/270,105 = 106,304.25/x
  3. Step 3: Cross multiply
    195,728.25x = 270,105 × 106,304.25
  4. Step 4: Simplify right side
    195,728.25x = 28,713,309,446.25
  5. Step 5: Solve for x
    x = 28,713,309,446.25/195,728.25
  6. Step 6: Final answer
    x = 146,699.87

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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.