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Finding the Fourth Proportional to 150,157.37, 225,228.15 and 37,837.50

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Solution

The fourth proportional to 150,157.37, 225,228.15 and 37,837.50 is: 56,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,157.37 : 225,228.15 = 37,837.50 : x
  2. Step 2: Convert to fraction form
    150,157.37/225,228.15 = 37,837.50/x
  3. Step 3: Cross multiply
    150,157.37x = 225,228.15 × 37,837.50
  4. Step 4: Simplify right side
    150,157.37x = 8,522,070,125.63
  5. Step 5: Solve for x
    x = 8,522,070,125.63/150,157.37
  6. Step 6: Final answer
    x = 56,754.26

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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.