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Finding the Fourth Proportional to 256,338.64, 353,763.72 and 143,161.39

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Solution

The fourth proportional to 256,338.64, 353,763.72 and 143,161.39 is: 197,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,338.64 : 353,763.72 = 143,161.39 : x
  2. Step 2: Convert to fraction form
    256,338.64/353,763.72 = 143,161.39/x
  3. Step 3: Cross multiply
    256,338.64x = 353,763.72 × 143,161.39
  4. Step 4: Simplify right side
    256,338.64x = 50,645,305,886.77
  5. Step 5: Solve for x
    x = 50,645,305,886.77/256,338.64
  6. Step 6: Final answer
    x = 197,571.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.