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Finding the Fourth Proportional to 149,297.64, 206,030.73 and 82,229.64

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Solution

The fourth proportional to 149,297.64, 206,030.73 and 82,229.64 is: 113,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,297.64 : 206,030.73 = 82,229.64 : x
  2. Step 2: Convert to fraction form
    149,297.64/206,030.73 = 82,229.64/x
  3. Step 3: Cross multiply
    149,297.64x = 206,030.73 × 82,229.64
  4. Step 4: Simplify right side
    149,297.64x = 16,941,832,756.84
  5. Step 5: Solve for x
    x = 16,941,832,756.84/149,297.64
  6. Step 6: Final answer
    x = 113,476.90

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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.