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Finding the Fourth Proportional to 149,651.83, 224,120.19 and 82,926.46

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Solution

The fourth proportional to 149,651.83, 224,120.19 and 82,926.46 is: 124,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,651.83 : 224,120.19 = 82,926.46 : x
  2. Step 2: Convert to fraction form
    149,651.83/224,120.19 = 82,926.46/x
  3. Step 3: Cross multiply
    149,651.83x = 224,120.19 × 82,926.46
  4. Step 4: Simplify right side
    149,651.83x = 18,585,493,971.23
  5. Step 5: Solve for x
    x = 18,585,493,971.23/149,651.83
  6. Step 6: Final answer
    x = 124,191.56

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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.