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Finding the Fourth Proportional to 193,698.72, 290,566.96 and 75,379.68

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Solution

The fourth proportional to 193,698.72, 290,566.96 and 75,379.68 is: 113,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,698.72 : 290,566.96 = 75,379.68 : x
  2. Step 2: Convert to fraction form
    193,698.72/290,566.96 = 75,379.68/x
  3. Step 3: Cross multiply
    193,698.72x = 290,566.96 × 75,379.68
  4. Step 4: Simplify right side
    193,698.72x = 21,902,844,463.37
  5. Step 5: Solve for x
    x = 21,902,844,463.37/193,698.72
  6. Step 6: Final answer
    x = 113,076.87

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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.