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Finding the Fourth Proportional to 256,949.65, 354,579.01 and 142,232.59

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Solution

The fourth proportional to 256,949.65, 354,579.01 and 142,232.59 is: 196,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,949.65 : 354,579.01 = 142,232.59 : x
  2. Step 2: Convert to fraction form
    256,949.65/354,579.01 = 142,232.59/x
  3. Step 3: Cross multiply
    256,949.65x = 354,579.01 × 142,232.59
  4. Step 4: Simplify right side
    256,949.65x = 50,432,690,951.94
  5. Step 5: Solve for x
    x = 50,432,690,951.94/256,949.65
  6. Step 6: Final answer
    x = 196,274.60

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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.