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Finding the Fourth Proportional to 196,333.44, 270,853.92 and 132,648

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Solution

The fourth proportional to 196,333.44, 270,853.92 and 132,648 is: 182,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,333.44 : 270,853.92 = 132,648 : x
  2. Step 2: Convert to fraction form
    196,333.44/270,853.92 = 132,648/x
  3. Step 3: Cross multiply
    196,333.44x = 270,853.92 × 132,648
  4. Step 4: Simplify right side
    196,333.44x = 35,928,230,780.16
  5. Step 5: Solve for x
    x = 35,928,230,780.16/196,333.44
  6. Step 6: Final answer
    x = 182,995.98

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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.