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Finding the Fourth Proportional to 297,138.08, 410,048.52 and 161,171.48

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Solution

The fourth proportional to 297,138.08, 410,048.52 and 161,171.48 is: 222,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,138.08 : 410,048.52 = 161,171.48 : x
  2. Step 2: Convert to fraction form
    297,138.08/410,048.52 = 161,171.48/x
  3. Step 3: Cross multiply
    297,138.08x = 410,048.52 × 161,171.48
  4. Step 4: Simplify right side
    297,138.08x = 66,088,126,840.21
  5. Step 5: Solve for x
    x = 66,088,126,840.21/297,138.08
  6. Step 6: Final answer
    x = 222,415.54

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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.