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Finding the Fourth Proportional to 206,404.81, 309,204.30 and 142,211.50

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Solution

The fourth proportional to 206,404.81, 309,204.30 and 142,211.50 is: 213,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404.81 : 309,204.30 = 142,211.50 : x
  2. Step 2: Convert to fraction form
    206,404.81/309,204.30 = 142,211.50/x
  3. Step 3: Cross multiply
    206,404.81x = 309,204.30 × 142,211.50
  4. Step 4: Simplify right side
    206,404.81x = 43,972,407,309.45
  5. Step 5: Solve for x
    x = 43,972,407,309.45/206,404.81
  6. Step 6: Final answer
    x = 213,039.64

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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.