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Finding the Fourth Proportional to 263,268.50, 363,310.50 and 148,571.42

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Solution

The fourth proportional to 263,268.50, 363,310.50 and 148,571.42 is: 205,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,268.50 : 363,310.50 = 148,571.42 : x
  2. Step 2: Convert to fraction form
    263,268.50/363,310.50 = 148,571.42/x
  3. Step 3: Cross multiply
    263,268.50x = 363,310.50 × 148,571.42
  4. Step 4: Simplify right side
    263,268.50x = 53,977,556,885.91
  5. Step 5: Solve for x
    x = 53,977,556,885.91/263,268.50
  6. Step 6: Final answer
    x = 205,028.54

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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.