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Finding the Fourth Proportional to 262,452.33, 362,195.69 and 147,738.38

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Solution

The fourth proportional to 262,452.33, 362,195.69 and 147,738.38 is: 203,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,452.33 : 362,195.69 = 147,738.38 : x
  2. Step 2: Convert to fraction form
    262,452.33/362,195.69 = 147,738.38/x
  3. Step 3: Cross multiply
    262,452.33x = 362,195.69 × 147,738.38
  4. Step 4: Simplify right side
    262,452.33x = 53,510,201,933.91
  5. Step 5: Solve for x
    x = 53,510,201,933.91/262,452.33
  6. Step 6: Final answer
    x = 203,885.41

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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.