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Finding the Fourth Proportional to 192,778.82, 266,034.74 and 107,895.89

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Solution

The fourth proportional to 192,778.82, 266,034.74 and 107,895.89 is: 148,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,778.82 : 266,034.74 = 107,895.89 : x
  2. Step 2: Convert to fraction form
    192,778.82/266,034.74 = 107,895.89/x
  3. Step 3: Cross multiply
    192,778.82x = 266,034.74 × 107,895.89
  4. Step 4: Simplify right side
    192,778.82x = 28,704,055,043.22
  5. Step 5: Solve for x
    x = 28,704,055,043.22/192,778.82
  6. Step 6: Final answer
    x = 148,896.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.