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Finding the Fourth Proportional to 160,692.26, 221,732.03 and 89,072.26

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Solution

The fourth proportional to 160,692.26, 221,732.03 and 89,072.26 is: 122,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,692.26 : 221,732.03 = 89,072.26 : x
  2. Step 2: Convert to fraction form
    160,692.26/221,732.03 = 89,072.26/x
  3. Step 3: Cross multiply
    160,692.26x = 221,732.03 × 89,072.26
  4. Step 4: Simplify right side
    160,692.26x = 19,750,172,694.84
  5. Step 5: Solve for x
    x = 19,750,172,694.84/160,692.26
  6. Step 6: Final answer
    x = 122,906.81

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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.