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Finding the Fourth Proportional to 256,136.49, 384,475.28 and 143,912.61

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Solution

The fourth proportional to 256,136.49, 384,475.28 and 143,912.61 is: 216,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,136.49 : 384,475.28 = 143,912.61 : x
  2. Step 2: Convert to fraction form
    256,136.49/384,475.28 = 143,912.61/x
  3. Step 3: Cross multiply
    256,136.49x = 384,475.28 × 143,912.61
  4. Step 4: Simplify right side
    256,136.49x = 55,330,840,305.72
  5. Step 5: Solve for x
    x = 55,330,840,305.72/256,136.49
  6. Step 6: Final answer
    x = 216,020.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.