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Finding the Fourth Proportional to 224,234.87, 309,438.36 and 122,260.52

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Solution

The fourth proportional to 224,234.87, 309,438.36 and 122,260.52 is: 168,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,234.87 : 309,438.36 = 122,260.52 : x
  2. Step 2: Convert to fraction form
    224,234.87/309,438.36 = 122,260.52/x
  3. Step 3: Cross multiply
    224,234.87x = 309,438.36 × 122,260.52
  4. Step 4: Simplify right side
    224,234.87x = 37,832,095,575.14
  5. Step 5: Solve for x
    x = 37,832,095,575.14/224,234.87
  6. Step 6: Final answer
    x = 168,716.38

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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.