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Finding the Fourth Proportional to 224,098.54, 309,246.99 and 122,121.83

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Solution

The fourth proportional to 224,098.54, 309,246.99 and 122,121.83 is: 168,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,098.54 : 309,246.99 = 122,121.83 : x
  2. Step 2: Convert to fraction form
    224,098.54/309,246.99 = 122,121.83/x
  3. Step 3: Cross multiply
    224,098.54x = 309,246.99 × 122,121.83
  4. Step 4: Simplify right side
    224,098.54x = 37,765,807,259.91
  5. Step 5: Solve for x
    x = 37,765,807,259.91/224,098.54
  6. Step 6: Final answer
    x = 168,523.22

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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.