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Finding the Fourth Proportional to 189,668.46, 284,517.21 and 56,538.54

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Solution

The fourth proportional to 189,668.46, 284,517.21 and 56,538.54 is: 84,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,668.46 : 284,517.21 = 56,538.54 : x
  2. Step 2: Convert to fraction form
    189,668.46/284,517.21 = 56,538.54/x
  3. Step 3: Cross multiply
    189,668.46x = 284,517.21 × 56,538.54
  4. Step 4: Simplify right side
    189,668.46x = 16,086,187,658.27
  5. Step 5: Solve for x
    x = 16,086,187,658.27/189,668.46
  6. Step 6: Final answer
    x = 84,812.14

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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.