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Finding the Fourth Proportional to 150,250.72, 225,410.64 and 50,424.16

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Solution

The fourth proportional to 150,250.72, 225,410.64 and 50,424.16 is: 75,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,250.72 : 225,410.64 = 50,424.16 : x
  2. Step 2: Convert to fraction form
    150,250.72/225,410.64 = 50,424.16/x
  3. Step 3: Cross multiply
    150,250.72x = 225,410.64 × 50,424.16
  4. Step 4: Simplify right side
    150,250.72x = 11,366,142,177.06
  5. Step 5: Solve for x
    x = 11,366,142,177.06/150,250.72
  6. Step 6: Final answer
    x = 75,647.84

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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.