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Finding the Fourth Proportional to 254,101.68, 381,207.56 and 76,593.84

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Solution

The fourth proportional to 254,101.68, 381,207.56 and 76,593.84 is: 114,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,101.68 : 381,207.56 = 76,593.84 : x
  2. Step 2: Convert to fraction form
    254,101.68/381,207.56 = 76,593.84/x
  3. Step 3: Cross multiply
    254,101.68x = 381,207.56 × 76,593.84
  4. Step 4: Simplify right side
    254,101.68x = 29,198,150,857.43
  5. Step 5: Solve for x
    x = 29,198,150,857.43/254,101.68
  6. Step 6: Final answer
    x = 114,907.35

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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.