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Finding the Fourth Proportional to 263,811.68, 395,712 and 64,133.12

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Solution

The fourth proportional to 263,811.68, 395,712 and 64,133.12 is: 96,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,811.68 : 395,712 = 64,133.12 : x
  2. Step 2: Convert to fraction form
    263,811.68/395,712 = 64,133.12/x
  3. Step 3: Cross multiply
    263,811.68x = 395,712 × 64,133.12
  4. Step 4: Simplify right side
    263,811.68x = 25,378,245,181.44
  5. Step 5: Solve for x
    x = 25,378,245,181.44/263,811.68
  6. Step 6: Final answer
    x = 96,198.34

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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.