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Finding the Fourth Proportional to 192,121.84, 265,119.60 and 107,236.96

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Solution

The fourth proportional to 192,121.84, 265,119.60 and 107,236.96 is: 147,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,121.84 : 265,119.60 = 107,236.96 : x
  2. Step 2: Convert to fraction form
    192,121.84/265,119.60 = 107,236.96/x
  3. Step 3: Cross multiply
    192,121.84x = 265,119.60 × 107,236.96
  4. Step 4: Simplify right side
    192,121.84x = 28,430,619,940.42
  5. Step 5: Solve for x
    x = 28,430,619,940.42/192,121.84
  6. Step 6: Final answer
    x = 147,982.24

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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.