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Finding the Fourth Proportional to 288,265.24, 397,789.32 and 160,948.90

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Solution

The fourth proportional to 288,265.24, 397,789.32 and 160,948.90 is: 222,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,265.24 : 397,789.32 = 160,948.90 : x
  2. Step 2: Convert to fraction form
    288,265.24/397,789.32 = 160,948.90/x
  3. Step 3: Cross multiply
    288,265.24x = 397,789.32 × 160,948.90
  4. Step 4: Simplify right side
    288,265.24x = 64,023,753,485.75
  5. Step 5: Solve for x
    x = 64,023,753,485.75/288,265.24
  6. Step 6: Final answer
    x = 222,100.15

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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.