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Finding the Fourth Proportional to 192,096, 265,101.12 and 107,213.76

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Solution

The fourth proportional to 192,096, 265,101.12 and 107,213.76 is: 147,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,096 : 265,101.12 = 107,213.76 : x
  2. Step 2: Convert to fraction form
    192,096/265,101.12 = 107,213.76/x
  3. Step 3: Cross multiply
    192,096x = 265,101.12 × 107,213.76
  4. Step 4: Simplify right side
    192,096x = 28,422,487,855.41
  5. Step 5: Solve for x
    x = 28,422,487,855.41/192,096
  6. Step 6: Final answer
    x = 147,959.81

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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.