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Finding the Fourth Proportional to 189,771.52, 284,706.62 and 56,651.80

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Solution

The fourth proportional to 189,771.52, 284,706.62 and 56,651.80 is: 84,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,771.52 : 284,706.62 = 56,651.80 : x
  2. Step 2: Convert to fraction form
    189,771.52/284,706.62 = 56,651.80/x
  3. Step 3: Cross multiply
    189,771.52x = 284,706.62 × 56,651.80
  4. Step 4: Simplify right side
    189,771.52x = 16,129,142,494.92
  5. Step 5: Solve for x
    x = 16,129,142,494.92/189,771.52
  6. Step 6: Final answer
    x = 84,992.43

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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.