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Finding the Fourth Proportional to 192,063.51, 288,087.98 and 51,825.78

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Solution

The fourth proportional to 192,063.51, 288,087.98 and 51,825.78 is: 77,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,063.51 : 288,087.98 = 51,825.78 : x
  2. Step 2: Convert to fraction form
    192,063.51/288,087.98 = 51,825.78/x
  3. Step 3: Cross multiply
    192,063.51x = 288,087.98 × 51,825.78
  4. Step 4: Simplify right side
    192,063.51x = 14,930,384,013.00
  5. Step 5: Solve for x
    x = 14,930,384,013.00/192,063.51
  6. Step 6: Final answer
    x = 77,736.70

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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.