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Finding the Fourth Proportional to 189,186.41, 283,771.40 and 47,028.68

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Solution

The fourth proportional to 189,186.41, 283,771.40 and 47,028.68 is: 70,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,186.41 : 283,771.40 = 47,028.68 : x
  2. Step 2: Convert to fraction form
    189,186.41/283,771.40 = 47,028.68/x
  3. Step 3: Cross multiply
    189,186.41x = 283,771.40 × 47,028.68
  4. Step 4: Simplify right side
    189,186.41x = 13,345,394,363.75
  5. Step 5: Solve for x
    x = 13,345,394,363.75/189,186.41
  6. Step 6: Final answer
    x = 70,540.98

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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.