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Finding the Fourth Proportional to 224,274.78, 309,506.67 and 122,305.82

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Solution

The fourth proportional to 224,274.78, 309,506.67 and 122,305.82 is: 168,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,274.78 : 309,506.67 = 122,305.82 : x
  2. Step 2: Convert to fraction form
    224,274.78/309,506.67 = 122,305.82/x
  3. Step 3: Cross multiply
    224,274.78x = 309,506.67 × 122,305.82
  4. Step 4: Simplify right side
    224,274.78x = 37,854,466,224.29
  5. Step 5: Solve for x
    x = 37,854,466,224.29/224,274.78
  6. Step 6: Final answer
    x = 168,786.10

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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.