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Finding the Fourth Proportional to 273,997.32, 410,924.70 and 116,144.52

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Solution

The fourth proportional to 273,997.32, 410,924.70 and 116,144.52 is: 174,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,997.32 : 410,924.70 = 116,144.52 : x
  2. Step 2: Convert to fraction form
    273,997.32/410,924.70 = 116,144.52/x
  3. Step 3: Cross multiply
    273,997.32x = 410,924.70 × 116,144.52
  4. Step 4: Simplify right side
    273,997.32x = 47,726,652,037.64
  5. Step 5: Solve for x
    x = 47,726,652,037.64/273,997.32
  6. Step 6: Final answer
    x = 174,186.57

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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.