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Finding the Fourth Proportional to 224,224.38, 309,429.57 and 122,249.93

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Solution

The fourth proportional to 224,224.38, 309,429.57 and 122,249.93 is: 168,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,224.38 : 309,429.57 = 122,249.93 : x
  2. Step 2: Convert to fraction form
    224,224.38/309,429.57 = 122,249.93/x
  3. Step 3: Cross multiply
    224,224.38x = 309,429.57 × 122,249.93
  4. Step 4: Simplify right side
    224,224.38x = 37,827,741,725.28
  5. Step 5: Solve for x
    x = 37,827,741,725.28/224,224.38
  6. Step 6: Final answer
    x = 168,704.86

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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.