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Finding the Fourth Proportional to 206,516.18, 309,774.30 and 73,401.70

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Solution

The fourth proportional to 206,516.18, 309,774.30 and 73,401.70 is: 110,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,516.18 : 309,774.30 = 73,401.70 : x
  2. Step 2: Convert to fraction form
    206,516.18/309,774.30 = 73,401.70/x
  3. Step 3: Cross multiply
    206,516.18x = 309,774.30 × 73,401.70
  4. Step 4: Simplify right side
    206,516.18x = 22,737,960,236.31
  5. Step 5: Solve for x
    x = 22,737,960,236.31/206,516.18
  6. Step 6: Final answer
    x = 110,102.56

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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.