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Finding the Fourth Proportional to 189,311.38, 283,464.06 and 114,330.09

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Solution

The fourth proportional to 189,311.38, 283,464.06 and 114,330.09 is: 171,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,311.38 : 283,464.06 = 114,330.09 : x
  2. Step 2: Convert to fraction form
    189,311.38/283,464.06 = 114,330.09/x
  3. Step 3: Cross multiply
    189,311.38x = 283,464.06 × 114,330.09
  4. Step 4: Simplify right side
    189,311.38x = 32,408,471,388.81
  5. Step 5: Solve for x
    x = 32,408,471,388.81/189,311.38
  6. Step 6: Final answer
    x = 171,191.35

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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.