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Finding the Fourth Proportional to 205,131.96, 307,521.30 and 80,443.32

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Solution

The fourth proportional to 205,131.96, 307,521.30 and 80,443.32 is: 120,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,131.96 : 307,521.30 = 80,443.32 : x
  2. Step 2: Convert to fraction form
    205,131.96/307,521.30 = 80,443.32/x
  3. Step 3: Cross multiply
    205,131.96x = 307,521.30 × 80,443.32
  4. Step 4: Simplify right side
    205,131.96x = 24,738,034,342.72
  5. Step 5: Solve for x
    x = 24,738,034,342.72/205,131.96
  6. Step 6: Final answer
    x = 120,595.71

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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.