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Finding the Fourth Proportional to 254,170.15, 381,257.96 and 76,678.70

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Solution

The fourth proportional to 254,170.15, 381,257.96 and 76,678.70 is: 115,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,170.15 : 381,257.96 = 76,678.70 : x
  2. Step 2: Convert to fraction form
    254,170.15/381,257.96 = 76,678.70/x
  3. Step 3: Cross multiply
    254,170.15x = 381,257.96 × 76,678.70
  4. Step 4: Simplify right side
    254,170.15x = 29,234,362,735.31
  5. Step 5: Solve for x
    x = 29,234,362,735.31/254,170.15
  6. Step 6: Final answer
    x = 115,018.87

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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.