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Finding the Fourth Proportional to 256,476, 353,936.88 and 143,309.28

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Solution

The fourth proportional to 256,476, 353,936.88 and 143,309.28 is: 197,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,476 : 353,936.88 = 143,309.28 : x
  2. Step 2: Convert to fraction form
    256,476/353,936.88 = 143,309.28/x
  3. Step 3: Cross multiply
    256,476x = 353,936.88 × 143,309.28
  4. Step 4: Simplify right side
    256,476x = 50,722,439,438.25
  5. Step 5: Solve for x
    x = 50,722,439,438.25/256,476
  6. Step 6: Final answer
    x = 197,766.81

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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.