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Finding the Fourth Proportional to 263,745.23, 363,967.98 and 142,889.58

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Solution

The fourth proportional to 263,745.23, 363,967.98 and 142,889.58 is: 197,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,745.23 : 363,967.98 = 142,889.58 : x
  2. Step 2: Convert to fraction form
    263,745.23/363,967.98 = 142,889.58/x
  3. Step 3: Cross multiply
    263,745.23x = 363,967.98 × 142,889.58
  4. Step 4: Simplify right side
    263,745.23x = 52,007,231,795.65
  5. Step 5: Solve for x
    x = 52,007,231,795.65/263,745.23
  6. Step 6: Final answer
    x = 197,187.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.