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Finding the Fourth Proportional to 256,941.30, 354,579.46 and 142,227.88

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Solution

The fourth proportional to 256,941.30, 354,579.46 and 142,227.88 is: 196,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,941.30 : 354,579.46 = 142,227.88 : x
  2. Step 2: Convert to fraction form
    256,941.30/354,579.46 = 142,227.88/x
  3. Step 3: Cross multiply
    256,941.30x = 354,579.46 × 142,227.88
  4. Step 4: Simplify right side
    256,941.30x = 50,431,084,887.34
  5. Step 5: Solve for x
    x = 50,431,084,887.34/256,941.30
  6. Step 6: Final answer
    x = 196,274.73

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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.