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Finding the Fourth Proportional to 206,485.02, 309,690.50 and 54,683.06

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Solution

The fourth proportional to 206,485.02, 309,690.50 and 54,683.06 is: 82,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,485.02 : 309,690.50 = 54,683.06 : x
  2. Step 2: Convert to fraction form
    206,485.02/309,690.50 = 54,683.06/x
  3. Step 3: Cross multiply
    206,485.02x = 309,690.50 × 54,683.06
  4. Step 4: Simplify right side
    206,485.02x = 16,934,822,371.06
  5. Step 5: Solve for x
    x = 16,934,822,371.06/206,485.02
  6. Step 6: Final answer
    x = 82,014.77

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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.