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Finding the Fourth Proportional to 331,475.76, 497,213.37 and 82,157.76

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Solution

The fourth proportional to 331,475.76, 497,213.37 and 82,157.76 is: 123,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,475.76 : 497,213.37 = 82,157.76 : x
  2. Step 2: Convert to fraction form
    331,475.76/497,213.37 = 82,157.76/x
  3. Step 3: Cross multiply
    331,475.76x = 497,213.37 × 82,157.76
  4. Step 4: Simplify right side
    331,475.76x = 40,849,936,721.25
  5. Step 5: Solve for x
    x = 40,849,936,721.25/331,475.76
  6. Step 6: Final answer
    x = 123,236.57

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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.