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Finding the Fourth Proportional to 78,193.87, 107,906.37 and 44,201.16

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Solution

The fourth proportional to 78,193.87, 107,906.37 and 44,201.16 is: 60,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.87 : 107,906.37 = 44,201.16 : x
  2. Step 2: Convert to fraction form
    78,193.87/107,906.37 = 44,201.16/x
  3. Step 3: Cross multiply
    78,193.87x = 107,906.37 × 44,201.16
  4. Step 4: Simplify right side
    78,193.87x = 4,769,586,725.39
  5. Step 5: Solve for x
    x = 4,769,586,725.39/78,193.87
  6. Step 6: Final answer
    x = 60,996.94

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1.5x scale

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.