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Finding the Fourth Proportional to 106,793.73, 160,190.39 and 43,643.49

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Solution

The fourth proportional to 106,793.73, 160,190.39 and 43,643.49 is: 65,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,793.73 : 160,190.39 = 43,643.49 : x
  2. Step 2: Convert to fraction form
    106,793.73/160,190.39 = 43,643.49/x
  3. Step 3: Cross multiply
    106,793.73x = 160,190.39 × 43,643.49
  4. Step 4: Simplify right side
    106,793.73x = 6,991,267,465.84
  5. Step 5: Solve for x
    x = 6,991,267,465.84/106,793.73
  6. Step 6: Final answer
    x = 65,465.15

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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.