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Finding the Fourth Proportional to 159,183, 238,776.12 and 48,375

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Solution

The fourth proportional to 159,183, 238,776.12 and 48,375 is: 72,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,183 : 238,776.12 = 48,375 : x
  2. Step 2: Convert to fraction form
    159,183/238,776.12 = 48,375/x
  3. Step 3: Cross multiply
    159,183x = 238,776.12 × 48,375
  4. Step 4: Simplify right side
    159,183x = 11,550,794,805
  5. Step 5: Solve for x
    x = 11,550,794,805/159,183
  6. Step 6: Final answer
    x = 72,562.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.