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Finding the Fourth Proportional to 259,199.14, 388,652.23 and 107,310.32

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Solution

The fourth proportional to 259,199.14, 388,652.23 and 107,310.32 is: 160,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,199.14 : 388,652.23 = 107,310.32 : x
  2. Step 2: Convert to fraction form
    259,199.14/388,652.23 = 107,310.32/x
  3. Step 3: Cross multiply
    259,199.14x = 388,652.23 × 107,310.32
  4. Step 4: Simplify right side
    259,199.14x = 41,706,394,214.72
  5. Step 5: Solve for x
    x = 41,706,394,214.72/259,199.14
  6. Step 6: Final answer
    x = 160,904.83

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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.