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Finding the Fourth Proportional to 206,885.56, 285,502.26 and 117,461.56

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Solution

The fourth proportional to 206,885.56, 285,502.26 and 117,461.56 is: 162,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885.56 : 285,502.26 = 117,461.56 : x
  2. Step 2: Convert to fraction form
    206,885.56/285,502.26 = 117,461.56/x
  3. Step 3: Cross multiply
    206,885.56x = 285,502.26 × 117,461.56
  4. Step 4: Simplify right side
    206,885.56x = 33,535,540,843.13
  5. Step 5: Solve for x
    x = 33,535,540,843.13/206,885.56
  6. Step 6: Final answer
    x = 162,097.06

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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.