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Finding the Fourth Proportional to 189,381.66, 261,230.31 and 112,848

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Solution

The fourth proportional to 189,381.66, 261,230.31 and 112,848 is: 155,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,381.66 : 261,230.31 = 112,848 : x
  2. Step 2: Convert to fraction form
    189,381.66/261,230.31 = 112,848/x
  3. Step 3: Cross multiply
    189,381.66x = 261,230.31 × 112,848
  4. Step 4: Simplify right side
    189,381.66x = 29,479,318,022.88
  5. Step 5: Solve for x
    x = 29,479,318,022.88/189,381.66
  6. Step 6: Final answer
    x = 155,660.89

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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.