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Finding the Fourth Proportional to 205,321.64, 283,327.67 and 114,670.49

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Solution

The fourth proportional to 205,321.64, 283,327.67 and 114,670.49 is: 158,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,321.64 : 283,327.67 = 114,670.49 : x
  2. Step 2: Convert to fraction form
    205,321.64/283,327.67 = 114,670.49/x
  3. Step 3: Cross multiply
    205,321.64x = 283,327.67 × 114,670.49
  4. Step 4: Simplify right side
    205,321.64x = 32,489,321,619.50
  5. Step 5: Solve for x
    x = 32,489,321,619.50/205,321.64
  6. Step 6: Final answer
    x = 158,236.23

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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.