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Finding the Fourth Proportional to 143,622.24, 198,249.84 and 103,359.84

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Solution

The fourth proportional to 143,622.24, 198,249.84 and 103,359.84 is: 142,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,622.24 : 198,249.84 = 103,359.84 : x
  2. Step 2: Convert to fraction form
    143,622.24/198,249.84 = 103,359.84/x
  3. Step 3: Cross multiply
    143,622.24x = 198,249.84 × 103,359.84
  4. Step 4: Simplify right side
    143,622.24x = 20,491,071,742.43
  5. Step 5: Solve for x
    x = 20,491,071,742.43/143,622.24
  6. Step 6: Final answer
    x = 142,673.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.