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Finding the Fourth Proportional to 224,093.84, 309,249.54 and 122,119.38

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Solution

The fourth proportional to 224,093.84, 309,249.54 and 122,119.38 is: 168,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,093.84 : 309,249.54 = 122,119.38 : x
  2. Step 2: Convert to fraction form
    224,093.84/309,249.54 = 122,119.38/x
  3. Step 3: Cross multiply
    224,093.84x = 309,249.54 × 122,119.38
  4. Step 4: Simplify right side
    224,093.84x = 37,765,362,090.09
  5. Step 5: Solve for x
    x = 37,765,362,090.09/224,093.84
  6. Step 6: Final answer
    x = 168,524.77

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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.