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Finding the Fourth Proportional to 189,814.50, 284,769.36 and 56,694.24

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Solution

The fourth proportional to 189,814.50, 284,769.36 and 56,694.24 is: 85,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,814.50 : 284,769.36 = 56,694.24 : x
  2. Step 2: Convert to fraction form
    189,814.50/284,769.36 = 56,694.24/x
  3. Step 3: Cross multiply
    189,814.50x = 284,769.36 × 56,694.24
  4. Step 4: Simplify right side
    189,814.50x = 16,144,782,440.49
  5. Step 5: Solve for x
    x = 16,144,782,440.49/189,814.50
  6. Step 6: Final answer
    x = 85,055.58

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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.