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Finding the Fourth Proportional to 256,367.78, 353,794.83 and 143,197.82

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Solution

The fourth proportional to 256,367.78, 353,794.83 and 143,197.82 is: 197,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,367.78 : 353,794.83 = 143,197.82 : x
  2. Step 2: Convert to fraction form
    256,367.78/353,794.83 = 143,197.82/x
  3. Step 3: Cross multiply
    256,367.78x = 353,794.83 × 143,197.82
  4. Step 4: Simplify right side
    256,367.78x = 50,662,648,383.27
  5. Step 5: Solve for x
    x = 50,662,648,383.27/256,367.78
  6. Step 6: Final answer
    x = 197,617.07

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1.5x scale

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.