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Finding the Fourth Proportional to 192,834.52, 266,112.68 and 106,796.32

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Solution

The fourth proportional to 192,834.52, 266,112.68 and 106,796.32 is: 147,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,834.52 : 266,112.68 = 106,796.32 : x
  2. Step 2: Convert to fraction form
    192,834.52/266,112.68 = 106,796.32/x
  3. Step 3: Cross multiply
    192,834.52x = 266,112.68 × 106,796.32
  4. Step 4: Simplify right side
    192,834.52x = 28,419,853,064.79
  5. Step 5: Solve for x
    x = 28,419,853,064.79/192,834.52
  6. Step 6: Final answer
    x = 147,379.49

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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.