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Finding the Fourth Proportional to 206,540.14, 285,029.67 and 115,902.67

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Solution

The fourth proportional to 206,540.14, 285,029.67 and 115,902.67 is: 159,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,540.14 : 285,029.67 = 115,902.67 : x
  2. Step 2: Convert to fraction form
    206,540.14/285,029.67 = 115,902.67/x
  3. Step 3: Cross multiply
    206,540.14x = 285,029.67 × 115,902.67
  4. Step 4: Simplify right side
    206,540.14x = 33,035,699,782.22
  5. Step 5: Solve for x
    x = 33,035,699,782.22/206,540.14
  6. Step 6: Final answer
    x = 159,948.08

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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.