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Finding the Fourth Proportional to 263,786.63, 364,023.41 and 142,927.54

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Solution

The fourth proportional to 263,786.63, 364,023.41 and 142,927.54 is: 197,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,786.63 : 364,023.41 = 142,927.54 : x
  2. Step 2: Convert to fraction form
    263,786.63/364,023.41 = 142,927.54/x
  3. Step 3: Cross multiply
    263,786.63x = 364,023.41 × 142,927.54
  4. Step 4: Simplify right side
    263,786.63x = 52,028,968,869.02
  5. Step 5: Solve for x
    x = 52,028,968,869.02/263,786.63
  6. Step 6: Final answer
    x = 197,238.84

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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.