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Finding the Fourth Proportional to 254,238.84, 381,360.96 and 76,747.32

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Solution

The fourth proportional to 254,238.84, 381,360.96 and 76,747.32 is: 115,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,238.84 : 381,360.96 = 76,747.32 : x
  2. Step 2: Convert to fraction form
    254,238.84/381,360.96 = 76,747.32/x
  3. Step 3: Cross multiply
    254,238.84x = 381,360.96 × 76,747.32
  4. Step 4: Simplify right side
    254,238.84x = 29,268,431,632.63
  5. Step 5: Solve for x
    x = 29,268,431,632.63/254,238.84
  6. Step 6: Final answer
    x = 115,121.80

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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.