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Finding the Fourth Proportional to 205,630.48, 283,651.77 and 120,731.14

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Solution

The fourth proportional to 205,630.48, 283,651.77 and 120,731.14 is: 166,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,630.48 : 283,651.77 = 120,731.14 : x
  2. Step 2: Convert to fraction form
    205,630.48/283,651.77 = 120,731.14/x
  3. Step 3: Cross multiply
    205,630.48x = 283,651.77 × 120,731.14
  4. Step 4: Simplify right side
    205,630.48x = 34,245,601,555.12
  5. Step 5: Solve for x
    x = 34,245,601,555.12/205,630.48
  6. Step 6: Final answer
    x = 166,539.52

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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.