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Finding the Fourth Proportional to 256,496.25, 353,964.84 and 143,319

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Solution

The fourth proportional to 256,496.25, 353,964.84 and 143,319 is: 197,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,496.25 : 353,964.84 = 143,319 : x
  2. Step 2: Convert to fraction form
    256,496.25/353,964.84 = 143,319/x
  3. Step 3: Cross multiply
    256,496.25x = 353,964.84 × 143,319
  4. Step 4: Simplify right side
    256,496.25x = 50,729,886,903.96
  5. Step 5: Solve for x
    x = 50,729,886,903.96/256,496.25
  6. Step 6: Final answer
    x = 197,780.23

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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.