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Finding the Fourth Proportional to 223,885.36, 308,983.62 and 167,198.32

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Solution

The fourth proportional to 223,885.36, 308,983.62 and 167,198.32 is: 230,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,885.36 : 308,983.62 = 167,198.32 : x
  2. Step 2: Convert to fraction form
    223,885.36/308,983.62 = 167,198.32/x
  3. Step 3: Cross multiply
    223,885.36x = 308,983.62 × 167,198.32
  4. Step 4: Simplify right side
    223,885.36x = 51,661,542,171.52
  5. Step 5: Solve for x
    x = 51,661,542,171.52/223,885.36
  6. Step 6: Final answer
    x = 230,749.98

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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.