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Finding the Fourth Proportional to 263,164.37, 363,144.89 and 148,436.69

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Solution

The fourth proportional to 263,164.37, 363,144.89 and 148,436.69 is: 204,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,164.37 : 363,144.89 = 148,436.69 : x
  2. Step 2: Convert to fraction form
    263,164.37/363,144.89 = 148,436.69/x
  3. Step 3: Cross multiply
    263,164.37x = 363,144.89 × 148,436.69
  4. Step 4: Simplify right side
    263,164.37x = 53,904,024,017.38
  5. Step 5: Solve for x
    x = 53,904,024,017.38/263,164.37
  6. Step 6: Final answer
    x = 204,830.26

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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.