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Finding the Fourth Proportional to 195,131.72, 292,663.56 and 54,857

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Solution

The fourth proportional to 195,131.72, 292,663.56 and 54,857 is: 82,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,131.72 : 292,663.56 = 54,857 : x
  2. Step 2: Convert to fraction form
    195,131.72/292,663.56 = 54,857/x
  3. Step 3: Cross multiply
    195,131.72x = 292,663.56 × 54,857
  4. Step 4: Simplify right side
    195,131.72x = 16,054,644,910.92
  5. Step 5: Solve for x
    x = 16,054,644,910.92/195,131.72
  6. Step 6: Final answer
    x = 82,275.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.