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Finding the Fourth Proportional to 150,745.32, 208,019.34 and 82,749.06

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Solution

The fourth proportional to 150,745.32, 208,019.34 and 82,749.06 is: 114,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,745.32 : 208,019.34 = 82,749.06 : x
  2. Step 2: Convert to fraction form
    150,745.32/208,019.34 = 82,749.06/x
  3. Step 3: Cross multiply
    150,745.32x = 208,019.34 × 82,749.06
  4. Step 4: Simplify right side
    150,745.32x = 17,213,404,846.82
  5. Step 5: Solve for x
    x = 17,213,404,846.82/150,745.32
  6. Step 6: Final answer
    x = 114,188.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.