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Finding the Fourth Proportional to 224,098.65, 309,247.13 and 122,121.93

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Solution

The fourth proportional to 224,098.65, 309,247.13 and 122,121.93 is: 168,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,098.65 : 309,247.13 = 122,121.93 : x
  2. Step 2: Convert to fraction form
    224,098.65/309,247.13 = 122,121.93/x
  3. Step 3: Cross multiply
    224,098.65x = 309,247.13 × 122,121.93
  4. Step 4: Simplify right side
    224,098.65x = 37,765,857,392.66
  5. Step 5: Solve for x
    x = 37,765,857,392.66/224,098.65
  6. Step 6: Final answer
    x = 168,523.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.