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Finding the Fourth Proportional to 206,770.15, 285,404.69 and 120,752.34

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Solution

The fourth proportional to 206,770.15, 285,404.69 and 120,752.34 is: 166,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,770.15 : 285,404.69 = 120,752.34 : x
  2. Step 2: Convert to fraction form
    206,770.15/285,404.69 = 120,752.34/x
  3. Step 3: Cross multiply
    206,770.15x = 285,404.69 × 120,752.34
  4. Step 4: Simplify right side
    206,770.15x = 34,463,284,164.47
  5. Step 5: Solve for x
    x = 34,463,284,164.47/206,770.15
  6. Step 6: Final answer
    x = 166,674.37

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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.