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Finding the Fourth Proportional to 150,541.82, 225,813.12 and 50,772.09

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Solution

The fourth proportional to 150,541.82, 225,813.12 and 50,772.09 is: 76,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,541.82 : 225,813.12 = 50,772.09 : x
  2. Step 2: Convert to fraction form
    150,541.82/225,813.12 = 50,772.09/x
  3. Step 3: Cross multiply
    150,541.82x = 225,813.12 × 50,772.09
  4. Step 4: Simplify right side
    150,541.82x = 11,465,004,051.82
  5. Step 5: Solve for x
    x = 11,465,004,051.82/150,541.82
  6. Step 6: Final answer
    x = 76,158.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.