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Finding the Fourth Proportional to 256,857.60, 385,286.40 and 132,441.60

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Solution

The fourth proportional to 256,857.60, 385,286.40 and 132,441.60 is: 198,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.60 : 385,286.40 = 132,441.60 : x
  2. Step 2: Convert to fraction form
    256,857.60/385,286.40 = 132,441.60/x
  3. Step 3: Cross multiply
    256,857.60x = 385,286.40 × 132,441.60
  4. Step 4: Simplify right side
    256,857.60x = 51,027,947,274.24
  5. Step 5: Solve for x
    x = 51,027,947,274.24/256,857.60
  6. Step 6: Final answer
    x = 198,662.40

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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.