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Finding the Fourth Proportional to 255,892.88, 384,171.93 and 196,770.06

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Solution

The fourth proportional to 255,892.88, 384,171.93 and 196,770.06 is: 295,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,892.88 : 384,171.93 = 196,770.06 : x
  2. Step 2: Convert to fraction form
    255,892.88/384,171.93 = 196,770.06/x
  3. Step 3: Cross multiply
    255,892.88x = 384,171.93 × 196,770.06
  4. Step 4: Simplify right side
    255,892.88x = 75,593,533,716.42
  5. Step 5: Solve for x
    x = 75,593,533,716.42/255,892.88
  6. Step 6: Final answer
    x = 295,410.85

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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.