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Finding the Fourth Proportional to 213,625, 320,441.82 and 65,881

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Solution

The fourth proportional to 213,625, 320,441.82 and 65,881 is: 98,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,625 : 320,441.82 = 65,881 : x
  2. Step 2: Convert to fraction form
    213,625/320,441.82 = 65,881/x
  3. Step 3: Cross multiply
    213,625x = 320,441.82 × 65,881
  4. Step 4: Simplify right side
    213,625x = 21,111,027,543.42
  5. Step 5: Solve for x
    x = 21,111,027,543.42/213,625
  6. Step 6: Final answer
    x = 98,822.83

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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.