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Finding the Fourth Proportional to 106,744.65, 160,119.72 and 50,571.60

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Solution

The fourth proportional to 106,744.65, 160,119.72 and 50,571.60 is: 75,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,744.65 : 160,119.72 = 50,571.60 : x
  2. Step 2: Convert to fraction form
    106,744.65/160,119.72 = 50,571.60/x
  3. Step 3: Cross multiply
    106,744.65x = 160,119.72 × 50,571.60
  4. Step 4: Simplify right side
    106,744.65x = 8,097,510,431.95
  5. Step 5: Solve for x
    x = 8,097,510,431.95/106,744.65
  6. Step 6: Final answer
    x = 75,858.70

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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.