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Finding the Fourth Proportional to 194,862.44, 292,324.24 and 82,542.96

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Solution

The fourth proportional to 194,862.44, 292,324.24 and 82,542.96 is: 123,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,862.44 : 292,324.24 = 82,542.96 : x
  2. Step 2: Convert to fraction form
    194,862.44/292,324.24 = 82,542.96/x
  3. Step 3: Cross multiply
    194,862.44x = 292,324.24 × 82,542.96
  4. Step 4: Simplify right side
    194,862.44x = 24,129,308,049.35
  5. Step 5: Solve for x
    x = 24,129,308,049.35/194,862.44
  6. Step 6: Final answer
    x = 123,827.39

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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.