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Finding the Fourth Proportional to 189,012.91, 283,524.23 and 54,096.88

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Solution

The fourth proportional to 189,012.91, 283,524.23 and 54,096.88 is: 81,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,012.91 : 283,524.23 = 54,096.88 : x
  2. Step 2: Convert to fraction form
    189,012.91/283,524.23 = 54,096.88/x
  3. Step 3: Cross multiply
    189,012.91x = 283,524.23 × 54,096.88
  4. Step 4: Simplify right side
    189,012.91x = 15,337,774,559.30
  5. Step 5: Solve for x
    x = 15,337,774,559.30/189,012.91
  6. Step 6: Final answer
    x = 81,146.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.