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Finding the Fourth Proportional to 178,371.96, 246,161 and 106,738.24

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Solution

The fourth proportional to 178,371.96, 246,161 and 106,738.24 is: 147,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,371.96 : 246,161 = 106,738.24 : x
  2. Step 2: Convert to fraction form
    178,371.96/246,161 = 106,738.24/x
  3. Step 3: Cross multiply
    178,371.96x = 246,161 × 106,738.24
  4. Step 4: Simplify right side
    178,371.96x = 26,274,791,896.64
  5. Step 5: Solve for x
    x = 26,274,791,896.64/178,371.96
  6. Step 6: Final answer
    x = 147,303.38

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Why These Related Problems?

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