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Finding the Fourth Proportional to 297,124.72, 410,028.42 and 161,156.50

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Solution

The fourth proportional to 297,124.72, 410,028.42 and 161,156.50 is: 222,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,124.72 : 410,028.42 = 161,156.50 : x
  2. Step 2: Convert to fraction form
    297,124.72/410,028.42 = 161,156.50/x
  3. Step 3: Cross multiply
    297,124.72x = 410,028.42 × 161,156.50
  4. Step 4: Simplify right side
    297,124.72x = 66,078,745,067.73
  5. Step 5: Solve for x
    x = 66,078,745,067.73/297,124.72
  6. Step 6: Final answer
    x = 222,393.97

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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.