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Finding the Fourth Proportional to 132,538, 182,902.44 and 72,922

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Solution

The fourth proportional to 132,538, 182,902.44 and 72,922 is: 100,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,538 : 182,902.44 = 72,922 : x
  2. Step 2: Convert to fraction form
    132,538/182,902.44 = 72,922/x
  3. Step 3: Cross multiply
    132,538x = 182,902.44 × 72,922
  4. Step 4: Simplify right side
    132,538x = 13,337,611,729.68
  5. Step 5: Solve for x
    x = 13,337,611,729.68/132,538
  6. Step 6: Final answer
    x = 100,632.36

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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.