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Finding the Fourth Proportional to 193,644.38, 290,515.85 and 113,749.91

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Solution

The fourth proportional to 193,644.38, 290,515.85 and 113,749.91 is: 170,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,644.38 : 290,515.85 = 113,749.91 : x
  2. Step 2: Convert to fraction form
    193,644.38/290,515.85 = 113,749.91/x
  3. Step 3: Cross multiply
    193,644.38x = 290,515.85 × 113,749.91
  4. Step 4: Simplify right side
    193,644.38x = 33,046,149,769.74
  5. Step 5: Solve for x
    x = 33,046,149,769.74/193,644.38
  6. Step 6: Final answer
    x = 170,653.81

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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.