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Finding the Fourth Proportional to 160,811.12, 221,920.97 and 89,192.34

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Solution

The fourth proportional to 160,811.12, 221,920.97 and 89,192.34 is: 123,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,811.12 : 221,920.97 = 89,192.34 : x
  2. Step 2: Convert to fraction form
    160,811.12/221,920.97 = 89,192.34/x
  3. Step 3: Cross multiply
    160,811.12x = 221,920.97 × 89,192.34
  4. Step 4: Simplify right side
    160,811.12x = 19,793,650,163.41
  5. Step 5: Solve for x
    x = 19,793,650,163.41/160,811.12
  6. Step 6: Final answer
    x = 123,086.33

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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.