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Finding the Fourth Proportional to 206,807.44, 285,394.41 and 116,163.45

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Solution

The fourth proportional to 206,807.44, 285,394.41 and 116,163.45 is: 160,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,807.44 : 285,394.41 = 116,163.45 : x
  2. Step 2: Convert to fraction form
    206,807.44/285,394.41 = 116,163.45/x
  3. Step 3: Cross multiply
    206,807.44x = 285,394.41 × 116,163.45
  4. Step 4: Simplify right side
    206,807.44x = 33,152,399,603.02
  5. Step 5: Solve for x
    x = 33,152,399,603.02/206,807.44
  6. Step 6: Final answer
    x = 160,305.65

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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.