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Finding the Fourth Proportional to 106,565.22, 159,847.56 and 100,069.56

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Solution

The fourth proportional to 106,565.22, 159,847.56 and 100,069.56 is: 150,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.22 : 159,847.56 = 100,069.56 : x
  2. Step 2: Convert to fraction form
    106,565.22/159,847.56 = 100,069.56/x
  3. Step 3: Cross multiply
    106,565.22x = 159,847.56 × 100,069.56
  4. Step 4: Simplify right side
    106,565.22x = 15,995,874,996.27
  5. Step 5: Solve for x
    x = 15,995,874,996.27/106,565.22
  6. Step 6: Final answer
    x = 150,104.09

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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.