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Finding the Fourth Proportional to 273,977.64, 410,999.22 and 116,185.56

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Solution

The fourth proportional to 273,977.64, 410,999.22 and 116,185.56 is: 174,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,977.64 : 410,999.22 = 116,185.56 : x
  2. Step 2: Convert to fraction form
    273,977.64/410,999.22 = 116,185.56/x
  3. Step 3: Cross multiply
    273,977.64x = 410,999.22 × 116,185.56
  4. Step 4: Simplify right side
    273,977.64x = 47,752,174,535.26
  5. Step 5: Solve for x
    x = 47,752,174,535.26/273,977.64
  6. Step 6: Final answer
    x = 174,292.23

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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.