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Finding the Fourth Proportional to 135,309.80, 186,604.11 and 116,183.58

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Solution

The fourth proportional to 135,309.80, 186,604.11 and 116,183.58 is: 160,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,309.80 : 186,604.11 = 116,183.58 : x
  2. Step 2: Convert to fraction form
    135,309.80/186,604.11 = 116,183.58/x
  3. Step 3: Cross multiply
    135,309.80x = 186,604.11 × 116,183.58
  4. Step 4: Simplify right side
    135,309.80x = 21,680,333,542.51
  5. Step 5: Solve for x
    x = 21,680,333,542.51/135,309.80
  6. Step 6: Final answer
    x = 160,227.38

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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.