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Finding the Fourth Proportional to 331,214.70, 496,822.05 and 81,896.70

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Solution

The fourth proportional to 331,214.70, 496,822.05 and 81,896.70 is: 122,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,214.70 : 496,822.05 = 81,896.70 : x
  2. Step 2: Convert to fraction form
    331,214.70/496,822.05 = 81,896.70/x
  3. Step 3: Cross multiply
    331,214.70x = 496,822.05 × 81,896.70
  4. Step 4: Simplify right side
    331,214.70x = 40,688,086,382.24
  5. Step 5: Solve for x
    x = 40,688,086,382.24/331,214.70
  6. Step 6: Final answer
    x = 122,845.05

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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.