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Finding the Fourth Proportional to 189,226.48, 283,846.43 and 47,072.50

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Solution

The fourth proportional to 189,226.48, 283,846.43 and 47,072.50 is: 70,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,226.48 : 283,846.43 = 47,072.50 : x
  2. Step 2: Convert to fraction form
    189,226.48/283,846.43 = 47,072.50/x
  3. Step 3: Cross multiply
    189,226.48x = 283,846.43 × 47,072.50
  4. Step 4: Simplify right side
    189,226.48x = 13,361,359,421.58
  5. Step 5: Solve for x
    x = 13,361,359,421.58/189,226.48
  6. Step 6: Final answer
    x = 70,610.41

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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.