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Finding the Fourth Proportional to 107,768.67, 161,657.46 and 41,213.67

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Solution

The fourth proportional to 107,768.67, 161,657.46 and 41,213.67 is: 61,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,768.67 : 161,657.46 = 41,213.67 : x
  2. Step 2: Convert to fraction form
    107,768.67/161,657.46 = 41,213.67/x
  3. Step 3: Cross multiply
    107,768.67x = 161,657.46 × 41,213.67
  4. Step 4: Simplify right side
    107,768.67x = 6,662,497,209.48
  5. Step 5: Solve for x
    x = 6,662,497,209.48/107,768.67
  6. Step 6: Final answer
    x = 61,822.21

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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.