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Finding the Fourth Proportional to 149,523.36, 206,337.34 and 81,538.44

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Solution

The fourth proportional to 149,523.36, 206,337.34 and 81,538.44 is: 112,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,523.36 : 206,337.34 = 81,538.44 : x
  2. Step 2: Convert to fraction form
    149,523.36/206,337.34 = 81,538.44/x
  3. Step 3: Cross multiply
    149,523.36x = 206,337.34 × 81,538.44
  4. Step 4: Simplify right side
    149,523.36x = 16,824,424,817.35
  5. Step 5: Solve for x
    x = 16,824,424,817.35/149,523.36
  6. Step 6: Final answer
    x = 112,520.38

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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.