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Finding the Fourth Proportional to 224,433.25, 309,724.37 and 123,837.73

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Solution

The fourth proportional to 224,433.25, 309,724.37 and 123,837.73 is: 170,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,433.25 : 309,724.37 = 123,837.73 : x
  2. Step 2: Convert to fraction form
    224,433.25/309,724.37 = 123,837.73/x
  3. Step 3: Cross multiply
    224,433.25x = 309,724.37 × 123,837.73
  4. Step 4: Simplify right side
    224,433.25x = 38,355,562,906.48
  5. Step 5: Solve for x
    x = 38,355,562,906.48/224,433.25
  6. Step 6: Final answer
    x = 170,899.65

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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.