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Finding the Fourth Proportional to 205,234.79, 283,271.25 and 120,379.19

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Solution

The fourth proportional to 205,234.79, 283,271.25 and 120,379.19 is: 166,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,234.79 : 283,271.25 = 120,379.19 : x
  2. Step 2: Convert to fraction form
    205,234.79/283,271.25 = 120,379.19/x
  3. Step 3: Cross multiply
    205,234.79x = 283,271.25 × 120,379.19
  4. Step 4: Simplify right side
    205,234.79x = 34,099,962,208.93
  5. Step 5: Solve for x
    x = 34,099,962,208.93/205,234.79
  6. Step 6: Final answer
    x = 166,150.99

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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.