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Finding the Fourth Proportional to 160,761.32, 221,839.82 and 89,138.70

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Solution

The fourth proportional to 160,761.32, 221,839.82 and 89,138.70 is: 123,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,761.32 : 221,839.82 = 89,138.70 : x
  2. Step 2: Convert to fraction form
    160,761.32/221,839.82 = 89,138.70/x
  3. Step 3: Cross multiply
    160,761.32x = 221,839.82 × 89,138.70
  4. Step 4: Simplify right side
    160,761.32x = 19,774,513,163.03
  5. Step 5: Solve for x
    x = 19,774,513,163.03/160,761.32
  6. Step 6: Final answer
    x = 123,005.42

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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.