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Finding the Fourth Proportional to 160,027.24, 220,594.98 and 106,217.32

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Solution

The fourth proportional to 160,027.24, 220,594.98 and 106,217.32 is: 146,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,027.24 : 220,594.98 = 106,217.32 : x
  2. Step 2: Convert to fraction form
    160,027.24/220,594.98 = 106,217.32/x
  3. Step 3: Cross multiply
    160,027.24x = 220,594.98 × 106,217.32
  4. Step 4: Simplify right side
    160,027.24x = 23,431,007,581.05
  5. Step 5: Solve for x
    x = 23,431,007,581.05/160,027.24
  6. Step 6: Final answer
    x = 146,418.87

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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.