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Finding the Fourth Proportional to 224,076.98, 309,222.29 and 122,103.18

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Solution

The fourth proportional to 224,076.98, 309,222.29 and 122,103.18 is: 168,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,076.98 : 309,222.29 = 122,103.18 : x
  2. Step 2: Convert to fraction form
    224,076.98/309,222.29 = 122,103.18/x
  3. Step 3: Cross multiply
    224,076.98x = 309,222.29 × 122,103.18
  4. Step 4: Simplify right side
    224,076.98x = 37,757,025,241.14
  5. Step 5: Solve for x
    x = 37,757,025,241.14/224,076.98
  6. Step 6: Final answer
    x = 168,500.24

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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.