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Finding the Fourth Proportional to 205,447.65, 283,512.31 and 114,804.36

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Solution

The fourth proportional to 205,447.65, 283,512.31 and 114,804.36 is: 158,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,447.65 : 283,512.31 = 114,804.36 : x
  2. Step 2: Convert to fraction form
    205,447.65/283,512.31 = 114,804.36/x
  3. Step 3: Cross multiply
    205,447.65x = 283,512.31 × 114,804.36
  4. Step 4: Simplify right side
    205,447.65x = 32,548,449,014.66
  5. Step 5: Solve for x
    x = 32,548,449,014.66/205,447.65
  6. Step 6: Final answer
    x = 158,426.97

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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.