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Finding the Fourth Proportional to 189,885, 284,828.12 and 71,524.56

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Solution

The fourth proportional to 189,885, 284,828.12 and 71,524.56 is: 107,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,885 : 284,828.12 = 71,524.56 : x
  2. Step 2: Convert to fraction form
    189,885/284,828.12 = 71,524.56/x
  3. Step 3: Cross multiply
    189,885x = 284,828.12 × 71,524.56
  4. Step 4: Simplify right side
    189,885x = 20,372,205,958.63
  5. Step 5: Solve for x
    x = 20,372,205,958.63/189,885
  6. Step 6: Final answer
    x = 107,287.07

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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.