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Finding the Fourth Proportional to 308,078, 425,147.68 and 166,766

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Solution

The fourth proportional to 308,078, 425,147.68 and 166,766 is: 230,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,078 : 425,147.68 = 166,766 : x
  2. Step 2: Convert to fraction form
    308,078/425,147.68 = 166,766/x
  3. Step 3: Cross multiply
    308,078x = 425,147.68 × 166,766
  4. Step 4: Simplify right side
    308,078x = 70,900,178,002.88
  5. Step 5: Solve for x
    x = 70,900,178,002.88/308,078
  6. Step 6: Final answer
    x = 230,137.10

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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.