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Finding the Fourth Proportional to 274,153.10, 410,901.60 and 140,964.80

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Solution

The fourth proportional to 274,153.10, 410,901.60 and 140,964.80 is: 211,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,153.10 : 410,901.60 = 140,964.80 : x
  2. Step 2: Convert to fraction form
    274,153.10/410,901.60 = 140,964.80/x
  3. Step 3: Cross multiply
    274,153.10x = 410,901.60 × 140,964.80
  4. Step 4: Simplify right side
    274,153.10x = 57,922,661,863.68
  5. Step 5: Solve for x
    x = 57,922,661,863.68/274,153.10
  6. Step 6: Final answer
    x = 211,278.52

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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.