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Finding the Fourth Proportional to 111,152.28, 166,745.74 and 37,263

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Solution

The fourth proportional to 111,152.28, 166,745.74 and 37,263 is: 55,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,152.28 : 166,745.74 = 37,263 : x
  2. Step 2: Convert to fraction form
    111,152.28/166,745.74 = 37,263/x
  3. Step 3: Cross multiply
    111,152.28x = 166,745.74 × 37,263
  4. Step 4: Simplify right side
    111,152.28x = 6,213,446,509.62
  5. Step 5: Solve for x
    x = 6,213,446,509.62/111,152.28
  6. Step 6: Final answer
    x = 55,900.31

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Why These Related Problems?

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