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Finding the Fourth Proportional to 206,530.85, 309,760.50 and 56,735.48

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Solution

The fourth proportional to 206,530.85, 309,760.50 and 56,735.48 is: 85,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,530.85 : 309,760.50 = 56,735.48 : x
  2. Step 2: Convert to fraction form
    206,530.85/309,760.50 = 56,735.48/x
  3. Step 3: Cross multiply
    206,530.85x = 309,760.50 × 56,735.48
  4. Step 4: Simplify right side
    206,530.85x = 17,574,410,652.54
  5. Step 5: Solve for x
    x = 17,574,410,652.54/206,530.85
  6. Step 6: Final answer
    x = 85,093.39

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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.