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Finding the Fourth Proportional to 224,183.75, 309,367.38 and 122,211.20

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Solution

The fourth proportional to 224,183.75, 309,367.38 and 122,211.20 is: 168,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,183.75 : 309,367.38 = 122,211.20 : x
  2. Step 2: Convert to fraction form
    224,183.75/309,367.38 = 122,211.20/x
  3. Step 3: Cross multiply
    224,183.75x = 309,367.38 × 122,211.20
  4. Step 4: Simplify right side
    224,183.75x = 37,808,158,750.66
  5. Step 5: Solve for x
    x = 37,808,158,750.66/224,183.75
  6. Step 6: Final answer
    x = 168,648.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.