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Finding the Fourth Proportional to 106,738.73, 160,134.37 and 75,210.37

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Solution

The fourth proportional to 106,738.73, 160,134.37 and 75,210.37 is: 112,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,738.73 : 160,134.37 = 75,210.37 : x
  2. Step 2: Convert to fraction form
    106,738.73/160,134.37 = 75,210.37/x
  3. Step 3: Cross multiply
    106,738.73x = 160,134.37 × 75,210.37
  4. Step 4: Simplify right side
    106,738.73x = 12,043,764,629.06
  5. Step 5: Solve for x
    x = 12,043,764,629.06/106,738.73
  6. Step 6: Final answer
    x = 112,834.07

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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.