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Finding the Fourth Proportional to 149,383.29, 206,148.96 and 81,400.27

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Solution

The fourth proportional to 149,383.29, 206,148.96 and 81,400.27 is: 112,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,383.29 : 206,148.96 = 81,400.27 : x
  2. Step 2: Convert to fraction form
    149,383.29/206,148.96 = 81,400.27/x
  3. Step 3: Cross multiply
    149,383.29x = 206,148.96 × 81,400.27
  4. Step 4: Simplify right side
    149,383.29x = 16,780,581,004.22
  5. Step 5: Solve for x
    x = 16,780,581,004.22/149,383.29
  6. Step 6: Final answer
    x = 112,332.38

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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.