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Finding the Fourth Proportional to 273,843.40, 377,899.14 and 152,977

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Solution

The fourth proportional to 273,843.40, 377,899.14 and 152,977 is: 211,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,843.40 : 377,899.14 = 152,977 : x
  2. Step 2: Convert to fraction form
    273,843.40/377,899.14 = 152,977/x
  3. Step 3: Cross multiply
    273,843.40x = 377,899.14 × 152,977
  4. Step 4: Simplify right side
    273,843.40x = 57,809,876,739.78
  5. Step 5: Solve for x
    x = 57,809,876,739.78/273,843.40
  6. Step 6: Final answer
    x = 211,105.61

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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.