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Finding the Fourth Proportional to 237,596.38, 327,882.90 and 142,103.08

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Solution

The fourth proportional to 237,596.38, 327,882.90 and 142,103.08 is: 196,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,596.38 : 327,882.90 = 142,103.08 : x
  2. Step 2: Convert to fraction form
    237,596.38/327,882.90 = 142,103.08/x
  3. Step 3: Cross multiply
    237,596.38x = 327,882.90 × 142,103.08
  4. Step 4: Simplify right side
    237,596.38x = 46,593,169,969.33
  5. Step 5: Solve for x
    x = 46,593,169,969.33/237,596.38
  6. Step 6: Final answer
    x = 196,102.19

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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.