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Finding the Fourth Proportional to 224,468.74, 309,757.16 and 122,491.66

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Solution

The fourth proportional to 224,468.74, 309,757.16 and 122,491.66 is: 169,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,468.74 : 309,757.16 = 122,491.66 : x
  2. Step 2: Convert to fraction form
    224,468.74/309,757.16 = 122,491.66/x
  3. Step 3: Cross multiply
    224,468.74x = 309,757.16 × 122,491.66
  4. Step 4: Simplify right side
    224,468.74x = 37,942,668,725.29
  5. Step 5: Solve for x
    x = 37,942,668,725.29/224,468.74
  6. Step 6: Final answer
    x = 169,033.20

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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.