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Finding the Fourth Proportional to 331,092.96, 456,910.32 and 180,191.52

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Solution

The fourth proportional to 331,092.96, 456,910.32 and 180,191.52 is: 248,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,092.96 : 456,910.32 = 180,191.52 : x
  2. Step 2: Convert to fraction form
    331,092.96/456,910.32 = 180,191.52/x
  3. Step 3: Cross multiply
    331,092.96x = 456,910.32 × 180,191.52
  4. Step 4: Simplify right side
    331,092.96x = 82,331,365,064.49
  5. Step 5: Solve for x
    x = 82,331,365,064.49/331,092.96
  6. Step 6: Final answer
    x = 248,665.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.