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Finding the Fourth Proportional to 123,813, 185,793.29 and 44,933.39

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Solution

The fourth proportional to 123,813, 185,793.29 and 44,933.39 is: 67,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,813 : 185,793.29 = 44,933.39 : x
  2. Step 2: Convert to fraction form
    123,813/185,793.29 = 44,933.39/x
  3. Step 3: Cross multiply
    123,813x = 185,793.29 × 44,933.39
  4. Step 4: Simplify right side
    123,813x = 8,348,321,205.32
  5. Step 5: Solve for x
    x = 8,348,321,205.32/123,813
  6. Step 6: Final answer
    x = 67,426.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.