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Finding the Fourth Proportional to 263,651.48, 363,871.01 and 148,934.96

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Solution

The fourth proportional to 263,651.48, 363,871.01 and 148,934.96 is: 205,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,651.48 : 363,871.01 = 148,934.96 : x
  2. Step 2: Convert to fraction form
    263,651.48/363,871.01 = 148,934.96/x
  3. Step 3: Cross multiply
    263,651.48x = 363,871.01 × 148,934.96
  4. Step 4: Simplify right side
    263,651.48x = 54,193,112,922.66
  5. Step 5: Solve for x
    x = 54,193,112,922.66/263,651.48
  6. Step 6: Final answer
    x = 205,548.30

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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.