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Finding the Fourth Proportional to 270,725.76, 373,593.44 and 149,872

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Solution

The fourth proportional to 270,725.76, 373,593.44 and 149,872 is: 206,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,725.76 : 373,593.44 = 149,872 : x
  2. Step 2: Convert to fraction form
    270,725.76/373,593.44 = 149,872/x
  3. Step 3: Cross multiply
    270,725.76x = 373,593.44 × 149,872
  4. Step 4: Simplify right side
    270,725.76x = 55,991,196,039.68
  5. Step 5: Solve for x
    x = 55,991,196,039.68/270,725.76
  6. Step 6: Final answer
    x = 206,818.87

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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.