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Finding the Fourth Proportional to 150,652.37, 207,893.27 and 82,667.64

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Solution

The fourth proportional to 150,652.37, 207,893.27 and 82,667.64 is: 114,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,652.37 : 207,893.27 = 82,667.64 : x
  2. Step 2: Convert to fraction form
    150,652.37/207,893.27 = 82,667.64/x
  3. Step 3: Cross multiply
    150,652.37x = 207,893.27 × 82,667.64
  4. Step 4: Simplify right side
    150,652.37x = 17,186,045,589.44
  5. Step 5: Solve for x
    x = 17,186,045,589.44/150,652.37
  6. Step 6: Final answer
    x = 114,077.50

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Why These Related Problems?

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