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Finding the Fourth Proportional to 142,651.02, 196,861.50 and 78,123

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Solution

The fourth proportional to 142,651.02, 196,861.50 and 78,123 is: 107,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,651.02 : 196,861.50 = 78,123 : x
  2. Step 2: Convert to fraction form
    142,651.02/196,861.50 = 78,123/x
  3. Step 3: Cross multiply
    142,651.02x = 196,861.50 × 78,123
  4. Step 4: Simplify right side
    142,651.02x = 15,379,410,964.50
  5. Step 5: Solve for x
    x = 15,379,410,964.50/142,651.02
  6. Step 6: Final answer
    x = 107,811.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.