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Finding the Fourth Proportional to 80,206, 120,309 and 24,802

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Solution

The fourth proportional to 80,206, 120,309 and 24,802 is: 37,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,206 : 120,309 = 24,802 : x
  2. Step 2: Convert to fraction form
    80,206/120,309 = 24,802/x
  3. Step 3: Cross multiply
    80,206x = 120,309 × 24,802
  4. Step 4: Simplify right side
    80,206x = 2,983,903,818
  5. Step 5: Solve for x
    x = 2,983,903,818/80,206
  6. Step 6: Final answer
    x = 37,203

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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.