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Finding the Fourth Proportional to 254,604.22, 381,977.82 and 74,693.90

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Solution

The fourth proportional to 254,604.22, 381,977.82 and 74,693.90 is: 112,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,604.22 : 381,977.82 = 74,693.90 : x
  2. Step 2: Convert to fraction form
    254,604.22/381,977.82 = 74,693.90/x
  3. Step 3: Cross multiply
    254,604.22x = 381,977.82 × 74,693.90
  4. Step 4: Simplify right side
    254,604.22x = 28,531,414,044.24
  5. Step 5: Solve for x
    x = 28,531,414,044.24/254,604.22
  6. Step 6: Final answer
    x = 112,061.83

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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.