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Finding the Fourth Proportional to 182,817.72, 274,188.18 and 51,459

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Solution

The fourth proportional to 182,817.72, 274,188.18 and 51,459 is: 77,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,817.72 : 274,188.18 = 51,459 : x
  2. Step 2: Convert to fraction form
    182,817.72/274,188.18 = 51,459/x
  3. Step 3: Cross multiply
    182,817.72x = 274,188.18 × 51,459
  4. Step 4: Simplify right side
    182,817.72x = 14,109,449,554.62
  5. Step 5: Solve for x
    x = 14,109,449,554.62/182,817.72
  6. Step 6: Final answer
    x = 77,177.69

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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.