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Finding the Fourth Proportional to 196,142.58, 270,734.67 and 115,596.18

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Solution

The fourth proportional to 196,142.58, 270,734.67 and 115,596.18 is: 159,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,142.58 : 270,734.67 = 115,596.18 : x
  2. Step 2: Convert to fraction form
    196,142.58/270,734.67 = 115,596.18/x
  3. Step 3: Cross multiply
    196,142.58x = 270,734.67 × 115,596.18
  4. Step 4: Simplify right side
    196,142.58x = 31,295,893,645.56
  5. Step 5: Solve for x
    x = 31,295,893,645.56/196,142.58
  6. Step 6: Final answer
    x = 159,556.86

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