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Finding the Fourth Proportional to 160,197.33, 220,968.17 and 102,745.65

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Solution

The fourth proportional to 160,197.33, 220,968.17 and 102,745.65 is: 141,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,197.33 : 220,968.17 = 102,745.65 : x
  2. Step 2: Convert to fraction form
    160,197.33/220,968.17 = 102,745.65/x
  3. Step 3: Cross multiply
    160,197.33x = 220,968.17 × 102,745.65
  4. Step 4: Simplify right side
    160,197.33x = 22,703,517,742.23
  5. Step 5: Solve for x
    x = 22,703,517,742.23/160,197.33
  6. Step 6: Final answer
    x = 141,722.20

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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.