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Finding the Fourth Proportional to 195,857.88, 293,786.28 and 55,616.64

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Solution

The fourth proportional to 195,857.88, 293,786.28 and 55,616.64 is: 83,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,857.88 : 293,786.28 = 55,616.64 : x
  2. Step 2: Convert to fraction form
    195,857.88/293,786.28 = 55,616.64/x
  3. Step 3: Cross multiply
    195,857.88x = 293,786.28 × 55,616.64
  4. Step 4: Simplify right side
    195,857.88x = 16,339,405,771.70
  5. Step 5: Solve for x
    x = 16,339,405,771.70/195,857.88
  6. Step 6: Final answer
    x = 83,424.81

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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.