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Finding the Fourth Proportional to 182,905.87, 274,408.11 and 76,254.38

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Solution

The fourth proportional to 182,905.87, 274,408.11 and 76,254.38 is: 114,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,905.87 : 274,408.11 = 76,254.38 : x
  2. Step 2: Convert to fraction form
    182,905.87/274,408.11 = 76,254.38/x
  3. Step 3: Cross multiply
    182,905.87x = 274,408.11 × 76,254.38
  4. Step 4: Simplify right side
    182,905.87x = 20,924,820,295.02
  5. Step 5: Solve for x
    x = 20,924,820,295.02/182,905.87
  6. Step 6: Final answer
    x = 114,402.13

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Why These Related Problems?

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