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Finding the Fourth Proportional to 165,943.56, 248,914.92 and 132,507

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Solution

The fourth proportional to 165,943.56, 248,914.92 and 132,507 is: 198,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,943.56 : 248,914.92 = 132,507 : x
  2. Step 2: Convert to fraction form
    165,943.56/248,914.92 = 132,507/x
  3. Step 3: Cross multiply
    165,943.56x = 248,914.92 × 132,507
  4. Step 4: Simplify right side
    165,943.56x = 32,982,969,304.44
  5. Step 5: Solve for x
    x = 32,982,969,304.44/165,943.56
  6. Step 6: Final answer
    x = 198,760.16

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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.