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Finding the Fourth Proportional to 206,659.14, 285,231.59 and 119,447.97

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Solution

The fourth proportional to 206,659.14, 285,231.59 and 119,447.97 is: 164,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,659.14 : 285,231.59 = 119,447.97 : x
  2. Step 2: Convert to fraction form
    206,659.14/285,231.59 = 119,447.97/x
  3. Step 3: Cross multiply
    206,659.14x = 285,231.59 × 119,447.97
  4. Step 4: Simplify right side
    206,659.14x = 34,070,334,405.37
  5. Step 5: Solve for x
    x = 34,070,334,405.37/206,659.14
  6. Step 6: Final answer
    x = 164,862.46

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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.