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Finding the Fourth Proportional to 222,353.40, 306,640.38 and 205,840.20

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Solution

The fourth proportional to 222,353.40, 306,640.38 and 205,840.20 is: 283,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,353.40 : 306,640.38 = 205,840.20 : x
  2. Step 2: Convert to fraction form
    222,353.40/306,640.38 = 205,840.20/x
  3. Step 3: Cross multiply
    222,353.40x = 306,640.38 × 205,840.20
  4. Step 4: Simplify right side
    222,353.40x = 63,118,917,147.28
  5. Step 5: Solve for x
    x = 63,118,917,147.28/222,353.40
  6. Step 6: Final answer
    x = 283,867.56

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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.