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Finding the Fourth Proportional to 224,463.97, 309,766.86 and 122,496.01

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Solution

The fourth proportional to 224,463.97, 309,766.86 and 122,496.01 is: 169,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,463.97 : 309,766.86 = 122,496.01 : x
  2. Step 2: Convert to fraction form
    224,463.97/309,766.86 = 122,496.01/x
  3. Step 3: Cross multiply
    224,463.97x = 309,766.86 × 122,496.01
  4. Step 4: Simplify right side
    224,463.97x = 37,945,205,638.66
  5. Step 5: Solve for x
    x = 37,945,205,638.66/224,463.97
  6. Step 6: Final answer
    x = 169,048.09

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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.