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Finding the Fourth Proportional to 263,650.98, 363,836.54 and 142,789.50

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Solution

The fourth proportional to 263,650.98, 363,836.54 and 142,789.50 is: 197,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,650.98 : 363,836.54 = 142,789.50 : x
  2. Step 2: Convert to fraction form
    263,650.98/363,836.54 = 142,789.50/x
  3. Step 3: Cross multiply
    263,650.98x = 363,836.54 × 142,789.50
  4. Step 4: Simplify right side
    263,650.98x = 51,952,036,914.38
  5. Step 5: Solve for x
    x = 51,952,036,914.38/263,650.98
  6. Step 6: Final answer
    x = 197,048.53

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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.