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Finding the Fourth Proportional to 195,296.72, 292,893.81 and 82,919.09

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Solution

The fourth proportional to 195,296.72, 292,893.81 and 82,919.09 is: 124,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,296.72 : 292,893.81 = 82,919.09 : x
  2. Step 2: Convert to fraction form
    195,296.72/292,893.81 = 82,919.09/x
  3. Step 3: Cross multiply
    195,296.72x = 292,893.81 × 82,919.09
  4. Step 4: Simplify right side
    195,296.72x = 24,286,486,727.36
  5. Step 5: Solve for x
    x = 24,286,486,727.36/195,296.72
  6. Step 6: Final answer
    x = 124,356.86

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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.