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Finding the Fourth Proportional to 206,881.56, 310,321.87 and 55,078.68

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Solution

The fourth proportional to 206,881.56, 310,321.87 and 55,078.68 is: 82,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,881.56 : 310,321.87 = 55,078.68 : x
  2. Step 2: Convert to fraction form
    206,881.56/310,321.87 = 55,078.68/x
  3. Step 3: Cross multiply
    206,881.56x = 310,321.87 × 55,078.68
  4. Step 4: Simplify right side
    206,881.56x = 17,092,117,285.43
  5. Step 5: Solve for x
    x = 17,092,117,285.43/206,881.56
  6. Step 6: Final answer
    x = 82,617.89

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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.