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Finding the Fourth Proportional to 160,635.75, 221,671.75 and 89,022.43

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Solution

The fourth proportional to 160,635.75, 221,671.75 and 89,022.43 is: 122,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,635.75 : 221,671.75 = 89,022.43 : x
  2. Step 2: Convert to fraction form
    160,635.75/221,671.75 = 89,022.43/x
  3. Step 3: Cross multiply
    160,635.75x = 221,671.75 × 89,022.43
  4. Step 4: Simplify right side
    160,635.75x = 19,733,757,847.35
  5. Step 5: Solve for x
    x = 19,733,757,847.35/160,635.75
  6. Step 6: Final answer
    x = 122,847.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.