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Finding the Fourth Proportional to 206,608.14, 310,078.26 and 106,797.58

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Solution

The fourth proportional to 206,608.14, 310,078.26 and 106,797.58 is: 160,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,608.14 : 310,078.26 = 106,797.58 : x
  2. Step 2: Convert to fraction form
    206,608.14/310,078.26 = 106,797.58/x
  3. Step 3: Cross multiply
    206,608.14x = 310,078.26 × 106,797.58
  4. Step 4: Simplify right side
    206,608.14x = 33,115,607,778.61
  5. Step 5: Solve for x
    x = 33,115,607,778.61/206,608.14
  6. Step 6: Final answer
    x = 160,282.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.