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Finding the Fourth Proportional to 150,173.29, 225,257.28 and 37,851

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Solution

The fourth proportional to 150,173.29, 225,257.28 and 37,851 is: 56,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,173.29 : 225,257.28 = 37,851 : x
  2. Step 2: Convert to fraction form
    150,173.29/225,257.28 = 37,851/x
  3. Step 3: Cross multiply
    150,173.29x = 225,257.28 × 37,851
  4. Step 4: Simplify right side
    150,173.29x = 8,526,213,305.28
  5. Step 5: Solve for x
    x = 8,526,213,305.28/150,173.29
  6. Step 6: Final answer
    x = 56,775.83

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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.