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Finding the Fourth Proportional to 206,590.20, 309,447.90 and 184,428.60

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Solution

The fourth proportional to 206,590.20, 309,447.90 and 184,428.60 is: 276,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,590.20 : 309,447.90 = 184,428.60 : x
  2. Step 2: Convert to fraction form
    206,590.20/309,447.90 = 184,428.60/x
  3. Step 3: Cross multiply
    206,590.20x = 309,447.90 × 184,428.60
  4. Step 4: Simplify right side
    206,590.20x = 57,071,042,969.94
  5. Step 5: Solve for x
    x = 57,071,042,969.94/206,590.20
  6. Step 6: Final answer
    x = 276,252.42

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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.