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Finding the Fourth Proportional to 165,343.14, 228,172.41 and 89,891.64

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Solution

The fourth proportional to 165,343.14, 228,172.41 and 89,891.64 is: 124,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,343.14 : 228,172.41 = 89,891.64 : x
  2. Step 2: Convert to fraction form
    165,343.14/228,172.41 = 89,891.64/x
  3. Step 3: Cross multiply
    165,343.14x = 228,172.41 × 89,891.64
  4. Step 4: Simplify right side
    165,343.14x = 20,510,792,137.65
  5. Step 5: Solve for x
    x = 20,510,792,137.65/165,343.14
  6. Step 6: Final answer
    x = 124,049.85

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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.