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Finding the Fourth Proportional to 253,764, 380,631.60 and 76,267.44

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Solution

The fourth proportional to 253,764, 380,631.60 and 76,267.44 is: 114,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,764 : 380,631.60 = 76,267.44 : x
  2. Step 2: Convert to fraction form
    253,764/380,631.60 = 76,267.44/x
  3. Step 3: Cross multiply
    253,764x = 380,631.60 × 76,267.44
  4. Step 4: Simplify right side
    253,764x = 29,029,797,715.10
  5. Step 5: Solve for x
    x = 29,029,797,715.10/253,764
  6. Step 6: Final answer
    x = 114,396.83

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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.