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Finding the Fourth Proportional to 217,532.46, 300,190.20 and 120,730.68

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Solution

The fourth proportional to 217,532.46, 300,190.20 and 120,730.68 is: 166,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,532.46 : 300,190.20 = 120,730.68 : x
  2. Step 2: Convert to fraction form
    217,532.46/300,190.20 = 120,730.68/x
  3. Step 3: Cross multiply
    217,532.46x = 300,190.20 × 120,730.68
  4. Step 4: Simplify right side
    217,532.46x = 36,242,166,357.42
  5. Step 5: Solve for x
    x = 36,242,166,357.42/217,532.46
  6. Step 6: Final answer
    x = 166,605.78

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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.