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Finding the Fourth Proportional to 160,695, 221,735.82 and 89,075

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Solution

The fourth proportional to 160,695, 221,735.82 and 89,075 is: 122,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,695 : 221,735.82 = 89,075 : x
  2. Step 2: Convert to fraction form
    160,695/221,735.82 = 89,075/x
  3. Step 3: Cross multiply
    160,695x = 221,735.82 × 89,075
  4. Step 4: Simplify right side
    160,695x = 19,751,118,166.50
  5. Step 5: Solve for x
    x = 19,751,118,166.50/160,695
  6. Step 6: Final answer
    x = 122,910.60

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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.