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Finding the Fourth Proportional to 101,922.38, 140,669.58 and 59,480.78

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Solution

The fourth proportional to 101,922.38, 140,669.58 and 59,480.78 is: 82,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922.38 : 140,669.58 = 59,480.78 : x
  2. Step 2: Convert to fraction form
    101,922.38/140,669.58 = 59,480.78/x
  3. Step 3: Cross multiply
    101,922.38x = 140,669.58 × 59,480.78
  4. Step 4: Simplify right side
    101,922.38x = 8,367,136,340.67
  5. Step 5: Solve for x
    x = 8,367,136,340.67/101,922.38
  6. Step 6: Final answer
    x = 82,093.22

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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.