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Finding the Fourth Proportional to 150,093.66, 225,152.31 and 50,254.27

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Solution

The fourth proportional to 150,093.66, 225,152.31 and 50,254.27 is: 75,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,093.66 : 225,152.31 = 50,254.27 : x
  2. Step 2: Convert to fraction form
    150,093.66/225,152.31 = 50,254.27/x
  3. Step 3: Cross multiply
    150,093.66x = 225,152.31 × 50,254.27
  4. Step 4: Simplify right side
    150,093.66x = 11,314,864,977.86
  5. Step 5: Solve for x
    x = 11,314,864,977.86/150,093.66
  6. Step 6: Final answer
    x = 75,385.36

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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.