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Finding the Fourth Proportional to 106,900.40, 160,350.60 and 28,022.60

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Solution

The fourth proportional to 106,900.40, 160,350.60 and 28,022.60 is: 42,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,900.40 : 160,350.60 = 28,022.60 : x
  2. Step 2: Convert to fraction form
    106,900.40/160,350.60 = 28,022.60/x
  3. Step 3: Cross multiply
    106,900.40x = 160,350.60 × 28,022.60
  4. Step 4: Simplify right side
    106,900.40x = 4,493,440,723.56
  5. Step 5: Solve for x
    x = 4,493,440,723.56/106,900.40
  6. Step 6: Final answer
    x = 42,033.90

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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.