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Finding the Fourth Proportional to 331,883, 497,874.42 and 107,168.12

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Solution

The fourth proportional to 331,883, 497,874.42 and 107,168.12 is: 160,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,883 : 497,874.42 = 107,168.12 : x
  2. Step 2: Convert to fraction form
    331,883/497,874.42 = 107,168.12/x
  3. Step 3: Cross multiply
    331,883x = 497,874.42 × 107,168.12
  4. Step 4: Simplify right side
    331,883x = 53,356,265,587.49
  5. Step 5: Solve for x
    x = 53,356,265,587.49/331,883
  6. Step 6: Final answer
    x = 160,768.30

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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.