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Finding the Fourth Proportional to 254,234.80, 381,202.62 and 96,474.32

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Solution

The fourth proportional to 254,234.80, 381,202.62 and 96,474.32 is: 144,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,234.80 : 381,202.62 = 96,474.32 : x
  2. Step 2: Convert to fraction form
    254,234.80/381,202.62 = 96,474.32/x
  3. Step 3: Cross multiply
    254,234.80x = 381,202.62 × 96,474.32
  4. Step 4: Simplify right side
    254,234.80x = 36,776,263,546.72
  5. Step 5: Solve for x
    x = 36,776,263,546.72/254,234.80
  6. Step 6: Final answer
    x = 144,654.72

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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.