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Finding the Fourth Proportional to 215,057, 296,778.66 and 120,849

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Solution

The fourth proportional to 215,057, 296,778.66 and 120,849 is: 166,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,057 : 296,778.66 = 120,849 : x
  2. Step 2: Convert to fraction form
    215,057/296,778.66 = 120,849/x
  3. Step 3: Cross multiply
    215,057x = 296,778.66 × 120,849
  4. Step 4: Simplify right side
    215,057x = 35,865,404,282.34
  5. Step 5: Solve for x
    x = 35,865,404,282.34/215,057
  6. Step 6: Final answer
    x = 166,771.62

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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.