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Finding the Fourth Proportional to 263,629.85, 363,804.70 and 142,770.16

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Solution

The fourth proportional to 263,629.85, 363,804.70 and 142,770.16 is: 197,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,629.85 : 363,804.70 = 142,770.16 : x
  2. Step 2: Convert to fraction form
    263,629.85/363,804.70 = 142,770.16/x
  3. Step 3: Cross multiply
    263,629.85x = 363,804.70 × 142,770.16
  4. Step 4: Simplify right side
    263,629.85x = 51,940,452,694.88
  5. Step 5: Solve for x
    x = 51,940,452,694.88/263,629.85
  6. Step 6: Final answer
    x = 197,020.38

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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.