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Finding the Fourth Proportional to 149,402.46, 206,175.40 and 82,334.46

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Solution

The fourth proportional to 149,402.46, 206,175.40 and 82,334.46 is: 113,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,402.46 : 206,175.40 = 82,334.46 : x
  2. Step 2: Convert to fraction form
    149,402.46/206,175.40 = 82,334.46/x
  3. Step 3: Cross multiply
    149,402.46x = 206,175.40 × 82,334.46
  4. Step 4: Simplify right side
    149,402.46x = 16,975,340,443.30
  5. Step 5: Solve for x
    x = 16,975,340,443.30/149,402.46
  6. Step 6: Final answer
    x = 113,621.56

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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.