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Finding the Fourth Proportional to 151,118.66, 208,539.45 and 82,205.95

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Solution

The fourth proportional to 151,118.66, 208,539.45 and 82,205.95 is: 113,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,118.66 : 208,539.45 = 82,205.95 : x
  2. Step 2: Convert to fraction form
    151,118.66/208,539.45 = 82,205.95/x
  3. Step 3: Cross multiply
    151,118.66x = 208,539.45 × 82,205.95
  4. Step 4: Simplify right side
    151,118.66x = 17,143,183,647.05
  5. Step 5: Solve for x
    x = 17,143,183,647.05/151,118.66
  6. Step 6: Final answer
    x = 113,441.87

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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.