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Finding the Fourth Proportional to 164,278.45, 246,380.50 and 75,446.56

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Solution

The fourth proportional to 164,278.45, 246,380.50 and 75,446.56 is: 113,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,278.45 : 246,380.50 = 75,446.56 : x
  2. Step 2: Convert to fraction form
    164,278.45/246,380.50 = 75,446.56/x
  3. Step 3: Cross multiply
    164,278.45x = 246,380.50 × 75,446.56
  4. Step 4: Simplify right side
    164,278.45x = 18,588,561,176.08
  5. Step 5: Solve for x
    x = 18,588,561,176.08/164,278.45
  6. Step 6: Final answer
    x = 113,152.77

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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.