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Finding the Fourth Proportional to 159,694.56, 220,196.34 and 119,340.36

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Solution

The fourth proportional to 159,694.56, 220,196.34 and 119,340.36 is: 164,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,694.56 : 220,196.34 = 119,340.36 : x
  2. Step 2: Convert to fraction form
    159,694.56/220,196.34 = 119,340.36/x
  3. Step 3: Cross multiply
    159,694.56x = 220,196.34 × 119,340.36
  4. Step 4: Simplify right side
    159,694.56x = 26,278,310,486.28
  5. Step 5: Solve for x
    x = 26,278,310,486.28/159,694.56
  6. Step 6: Final answer
    x = 164,553.57

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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.