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Finding the Fourth Proportional to 205,233.66, 283,269.69 and 120,378.06

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Solution

The fourth proportional to 205,233.66, 283,269.69 and 120,378.06 is: 166,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,233.66 : 283,269.69 = 120,378.06 : x
  2. Step 2: Convert to fraction form
    205,233.66/283,269.69 = 120,378.06/x
  3. Step 3: Cross multiply
    205,233.66x = 283,269.69 × 120,378.06
  4. Step 4: Simplify right side
    205,233.66x = 34,099,455,739.00
  5. Step 5: Solve for x
    x = 34,099,455,739.00/205,233.66
  6. Step 6: Final answer
    x = 166,149.43

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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.