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Finding the Fourth Proportional to 263,661.66, 395,713.62 and 114,016.19

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Solution

The fourth proportional to 263,661.66, 395,713.62 and 114,016.19 is: 171,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,661.66 : 395,713.62 = 114,016.19 : x
  2. Step 2: Convert to fraction form
    263,661.66/395,713.62 = 114,016.19/x
  3. Step 3: Cross multiply
    263,661.66x = 395,713.62 × 114,016.19
  4. Step 4: Simplify right side
    263,661.66x = 45,117,757,304.94
  5. Step 5: Solve for x
    x = 45,117,757,304.94/263,661.66
  6. Step 6: Final answer
    x = 171,119.90

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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.