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Finding the Fourth Proportional to 192,583.84, 265,832.49 and 132,353.86

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Solution

The fourth proportional to 192,583.84, 265,832.49 and 132,353.86 is: 182,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,583.84 : 265,832.49 = 132,353.86 : x
  2. Step 2: Convert to fraction form
    192,583.84/265,832.49 = 132,353.86/x
  3. Step 3: Cross multiply
    192,583.84x = 265,832.49 × 132,353.86
  4. Step 4: Simplify right side
    192,583.84x = 35,183,955,996.66
  5. Step 5: Solve for x
    x = 35,183,955,996.66/192,583.84
  6. Step 6: Final answer
    x = 182,694.23

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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.