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Finding the Fourth Proportional to 214,838.44, 322,234.98 and 57,082.84

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Solution

The fourth proportional to 214,838.44, 322,234.98 and 57,082.84 is: 85,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,838.44 : 322,234.98 = 57,082.84 : x
  2. Step 2: Convert to fraction form
    214,838.44/322,234.98 = 57,082.84/x
  3. Step 3: Cross multiply
    214,838.44x = 322,234.98 × 57,082.84
  4. Step 4: Simplify right side
    214,838.44x = 18,394,087,805.74
  5. Step 5: Solve for x
    x = 18,394,087,805.74/214,838.44
  6. Step 6: Final answer
    x = 85,618.23

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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.