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Finding the Fourth Proportional to 106,793.94, 160,190.92 and 40,249.00

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Solution

The fourth proportional to 106,793.94, 160,190.92 and 40,249.00 is: 60,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,793.94 : 160,190.92 = 40,249.00 : x
  2. Step 2: Convert to fraction form
    106,793.94/160,190.92 = 40,249.00/x
  3. Step 3: Cross multiply
    106,793.94x = 160,190.92 × 40,249.00
  4. Step 4: Simplify right side
    106,793.94x = 6,447,524,363.23
  5. Step 5: Solve for x
    x = 6,447,524,363.23/106,793.94
  6. Step 6: Final answer
    x = 60,373.50

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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.