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Finding the Fourth Proportional to 106,163.68, 159,280.08 and 50,764

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Solution

The fourth proportional to 106,163.68, 159,280.08 and 50,764 is: 76,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,163.68 : 159,280.08 = 50,764 : x
  2. Step 2: Convert to fraction form
    106,163.68/159,280.08 = 50,764/x
  3. Step 3: Cross multiply
    106,163.68x = 159,280.08 × 50,764
  4. Step 4: Simplify right side
    106,163.68x = 8,085,693,981.12
  5. Step 5: Solve for x
    x = 8,085,693,981.12/106,163.68
  6. Step 6: Final answer
    x = 76,162.53

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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.