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Finding the Fourth Proportional to 149,620.98, 206,462.61 and 82,548.66

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Solution

The fourth proportional to 149,620.98, 206,462.61 and 82,548.66 is: 113,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,620.98 : 206,462.61 = 82,548.66 : x
  2. Step 2: Convert to fraction form
    149,620.98/206,462.61 = 82,548.66/x
  3. Step 3: Cross multiply
    149,620.98x = 206,462.61 × 82,548.66
  4. Step 4: Simplify right side
    149,620.98x = 17,043,211,795.60
  5. Step 5: Solve for x
    x = 17,043,211,795.60/149,620.98
  6. Step 6: Final answer
    x = 113,909.24

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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.