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Finding the Fourth Proportional to 223,917.28, 309,002.16 and 123,324.64

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Solution

The fourth proportional to 223,917.28, 309,002.16 and 123,324.64 is: 170,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,917.28 : 309,002.16 = 123,324.64 : x
  2. Step 2: Convert to fraction form
    223,917.28/309,002.16 = 123,324.64/x
  3. Step 3: Cross multiply
    223,917.28x = 309,002.16 × 123,324.64
  4. Step 4: Simplify right side
    223,917.28x = 38,107,580,141.22
  5. Step 5: Solve for x
    x = 38,107,580,141.22/223,917.28
  6. Step 6: Final answer
    x = 170,185.97

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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.