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Finding the Fourth Proportional to 149,297.88, 206,031.07 and 82,229.88

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Solution

The fourth proportional to 149,297.88, 206,031.07 and 82,229.88 is: 113,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,297.88 : 206,031.07 = 82,229.88 : x
  2. Step 2: Convert to fraction form
    149,297.88/206,031.07 = 82,229.88/x
  3. Step 3: Cross multiply
    149,297.88x = 206,031.07 × 82,229.88
  4. Step 4: Simplify right side
    149,297.88x = 16,941,908,926.64
  5. Step 5: Solve for x
    x = 16,941,908,926.64/149,297.88
  6. Step 6: Final answer
    x = 113,477.23

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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.