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Finding the Fourth Proportional to 107,667.78, 161,512.43 and 41,163.86

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Solution

The fourth proportional to 107,667.78, 161,512.43 and 41,163.86 is: 61,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,667.78 : 161,512.43 = 41,163.86 : x
  2. Step 2: Convert to fraction form
    107,667.78/161,512.43 = 41,163.86/x
  3. Step 3: Cross multiply
    107,667.78x = 161,512.43 × 41,163.86
  4. Step 4: Simplify right side
    107,667.78x = 6,648,474,043.40
  5. Step 5: Solve for x
    x = 6,648,474,043.40/107,667.78
  6. Step 6: Final answer
    x = 61,749.89

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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.