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Finding the Fourth Proportional to 149,228, 223,842 and 50,732

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Solution

The fourth proportional to 149,228, 223,842 and 50,732 is: 76,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,228 : 223,842 = 50,732 : x
  2. Step 2: Convert to fraction form
    149,228/223,842 = 50,732/x
  3. Step 3: Cross multiply
    149,228x = 223,842 × 50,732
  4. Step 4: Simplify right side
    149,228x = 11,355,952,344
  5. Step 5: Solve for x
    x = 11,355,952,344/149,228
  6. Step 6: Final answer
    x = 76,098

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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.