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Finding the Fourth Proportional to 193,782.84, 267,668.34 and 148,183.89

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Solution

The fourth proportional to 193,782.84, 267,668.34 and 148,183.89 is: 204,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,782.84 : 267,668.34 = 148,183.89 : x
  2. Step 2: Convert to fraction form
    193,782.84/267,668.34 = 148,183.89/x
  3. Step 3: Cross multiply
    193,782.84x = 267,668.34 × 148,183.89
  4. Step 4: Simplify right side
    193,782.84x = 39,664,135,851.04
  5. Step 5: Solve for x
    x = 39,664,135,851.04/193,782.84
  6. Step 6: Final answer
    x = 204,683.43

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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.