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Finding the Fourth Proportional to 149,570.68, 206,404.24 and 82,502.68

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Solution

The fourth proportional to 149,570.68, 206,404.24 and 82,502.68 is: 113,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,570.68 : 206,404.24 = 82,502.68 : x
  2. Step 2: Convert to fraction form
    149,570.68/206,404.24 = 82,502.68/x
  3. Step 3: Cross multiply
    149,570.68x = 206,404.24 × 82,502.68
  4. Step 4: Simplify right side
    149,570.68x = 17,028,902,963.36
  5. Step 5: Solve for x
    x = 17,028,902,963.36/149,570.68
  6. Step 6: Final answer
    x = 113,851.88

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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.