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Finding the Fourth Proportional to 206,677.17, 285,198.72 and 116,015.63

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Solution

The fourth proportional to 206,677.17, 285,198.72 and 116,015.63 is: 160,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,677.17 : 285,198.72 = 116,015.63 : x
  2. Step 2: Convert to fraction form
    206,677.17/285,198.72 = 116,015.63/x
  3. Step 3: Cross multiply
    206,677.17x = 285,198.72 × 116,015.63
  4. Step 4: Simplify right side
    206,677.17x = 33,087,507,750.00
  5. Step 5: Solve for x
    x = 33,087,507,750.00/206,677.17
  6. Step 6: Final answer
    x = 160,092.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.