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Finding the Fourth Proportional to 205,194.06, 283,194.63 and 120,319.02

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Solution

The fourth proportional to 205,194.06, 283,194.63 and 120,319.02 is: 166,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,194.06 : 283,194.63 = 120,319.02 : x
  2. Step 2: Convert to fraction form
    205,194.06/283,194.63 = 120,319.02/x
  3. Step 3: Cross multiply
    205,194.06x = 283,194.63 × 120,319.02
  4. Step 4: Simplify right side
    205,194.06x = 34,073,700,350.86
  5. Step 5: Solve for x
    x = 34,073,700,350.86/205,194.06
  6. Step 6: Final answer
    x = 166,055.98

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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.