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Finding the Fourth Proportional to 110,806.43, 166,151.32 and 75,756.11

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Solution

The fourth proportional to 110,806.43, 166,151.32 and 75,756.11 is: 113,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,806.43 : 166,151.32 = 75,756.11 : x
  2. Step 2: Convert to fraction form
    110,806.43/166,151.32 = 75,756.11/x
  3. Step 3: Cross multiply
    110,806.43x = 166,151.32 × 75,756.11
  4. Step 4: Simplify right side
    110,806.43x = 12,586,977,674.57
  5. Step 5: Solve for x
    x = 12,586,977,674.57/110,806.43
  6. Step 6: Final answer
    x = 113,594.29

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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.