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Finding the Fourth Proportional to 254,674.56, 381,828.84 and 119,662.48

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Solution

The fourth proportional to 254,674.56, 381,828.84 and 119,662.48 is: 179,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,674.56 : 381,828.84 = 119,662.48 : x
  2. Step 2: Convert to fraction form
    254,674.56/381,828.84 = 119,662.48/x
  3. Step 3: Cross multiply
    254,674.56x = 381,828.84 × 119,662.48
  4. Step 4: Simplify right side
    254,674.56x = 45,690,585,929.92
  5. Step 5: Solve for x
    x = 45,690,585,929.92/254,674.56
  6. Step 6: Final answer
    x = 179,407.73

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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.