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Finding the Fourth Proportional to 224,516.52, 309,833.22 and 123,914.44

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Solution

The fourth proportional to 224,516.52, 309,833.22 and 123,914.44 is: 171,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,516.52 : 309,833.22 = 123,914.44 : x
  2. Step 2: Convert to fraction form
    224,516.52/309,833.22 = 123,914.44/x
  3. Step 3: Cross multiply
    224,516.52x = 309,833.22 × 123,914.44
  4. Step 4: Simplify right side
    224,516.52x = 38,392,809,949.70
  5. Step 5: Solve for x
    x = 38,392,809,949.70/224,516.52
  6. Step 6: Final answer
    x = 171,002.16

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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.