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Finding the Fourth Proportional to 200,217.96, 276,295.32 and 123,706.44

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Solution

The fourth proportional to 200,217.96, 276,295.32 and 123,706.44 is: 170,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,217.96 : 276,295.32 = 123,706.44 : x
  2. Step 2: Convert to fraction form
    200,217.96/276,295.32 = 123,706.44/x
  3. Step 3: Cross multiply
    200,217.96x = 276,295.32 × 123,706.44
  4. Step 4: Simplify right side
    200,217.96x = 34,179,510,425.86
  5. Step 5: Solve for x
    x = 34,179,510,425.86/200,217.96
  6. Step 6: Final answer
    x = 170,711.51

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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.