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Finding the Fourth Proportional to 256,004.45, 384,178.07 and 106,244.87

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Solution

The fourth proportional to 256,004.45, 384,178.07 and 106,244.87 is: 159,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,004.45 : 384,178.07 = 106,244.87 : x
  2. Step 2: Convert to fraction form
    256,004.45/384,178.07 = 106,244.87/x
  3. Step 3: Cross multiply
    256,004.45x = 384,178.07 × 106,244.87
  4. Step 4: Simplify right side
    256,004.45x = 40,816,947,448.72
  5. Step 5: Solve for x
    x = 40,816,947,448.72/256,004.45
  6. Step 6: Final answer
    x = 159,438.43

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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.