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Finding the Fourth Proportional to 143,609.60, 198,151.23 and 83,176.64

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Solution

The fourth proportional to 143,609.60, 198,151.23 and 83,176.64 is: 114,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,609.60 : 198,151.23 = 83,176.64 : x
  2. Step 2: Convert to fraction form
    143,609.60/198,151.23 = 83,176.64/x
  3. Step 3: Cross multiply
    143,609.60x = 198,151.23 × 83,176.64
  4. Step 4: Simplify right side
    143,609.60x = 16,481,553,523.27
  5. Step 5: Solve for x
    x = 16,481,553,523.27/143,609.60
  6. Step 6: Final answer
    x = 114,766.38

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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.