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Finding the Fourth Proportional to 206,377.63, 309,597.20 and 73,246.73

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Solution

The fourth proportional to 206,377.63, 309,597.20 and 73,246.73 is: 109,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,377.63 : 309,597.20 = 73,246.73 : x
  2. Step 2: Convert to fraction form
    206,377.63/309,597.20 = 73,246.73/x
  3. Step 3: Cross multiply
    206,377.63x = 309,597.20 × 73,246.73
  4. Step 4: Simplify right side
    206,377.63x = 22,676,983,474.27
  5. Step 5: Solve for x
    x = 22,676,983,474.27/206,377.63
  6. Step 6: Final answer
    x = 109,881.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.