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Finding the Fourth Proportional to 220,785.75, 304,684.34 and 120,183.75

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Solution

The fourth proportional to 220,785.75, 304,684.34 and 120,183.75 is: 165,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,785.75 : 304,684.34 = 120,183.75 : x
  2. Step 2: Convert to fraction form
    220,785.75/304,684.34 = 120,183.75/x
  3. Step 3: Cross multiply
    220,785.75x = 304,684.34 × 120,183.75
  4. Step 4: Simplify right side
    220,785.75x = 36,618,105,946.56
  5. Step 5: Solve for x
    x = 36,618,105,946.56/220,785.75
  6. Step 6: Final answer
    x = 165,853.58

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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.