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Finding the Fourth Proportional to 205,246.64, 283,165.44 and 120,347.24

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Solution

The fourth proportional to 205,246.64, 283,165.44 and 120,347.24 is: 166,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,246.64 : 283,165.44 = 120,347.24 : x
  2. Step 2: Convert to fraction form
    205,246.64/283,165.44 = 120,347.24/x
  3. Step 3: Cross multiply
    205,246.64x = 283,165.44 × 120,347.24
  4. Step 4: Simplify right side
    205,246.64x = 34,078,179,167.39
  5. Step 5: Solve for x
    x = 34,078,179,167.39/205,246.64
  6. Step 6: Final answer
    x = 166,035.26

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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.