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Finding the Fourth Proportional to 205,327.44, 307,736.82 and 116,311.14

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Solution

The fourth proportional to 205,327.44, 307,736.82 and 116,311.14 is: 174,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,327.44 : 307,736.82 = 116,311.14 : x
  2. Step 2: Convert to fraction form
    205,327.44/307,736.82 = 116,311.14/x
  3. Step 3: Cross multiply
    205,327.44x = 307,736.82 × 116,311.14
  4. Step 4: Simplify right side
    205,327.44x = 35,793,220,354.17
  5. Step 5: Solve for x
    x = 35,793,220,354.17/205,327.44
  6. Step 6: Final answer
    x = 174,322.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.