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Finding the Fourth Proportional to 256,591.63, 354,107.38 and 143,414.38

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Solution

The fourth proportional to 256,591.63, 354,107.38 and 143,414.38 is: 197,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,591.63 : 354,107.38 = 143,414.38 : x
  2. Step 2: Convert to fraction form
    256,591.63/354,107.38 = 143,414.38/x
  3. Step 3: Cross multiply
    256,591.63x = 354,107.38 × 143,414.38
  4. Step 4: Simplify right side
    256,591.63x = 50,784,088,585.59
  5. Step 5: Solve for x
    x = 50,784,088,585.59/256,591.63
  6. Step 6: Final answer
    x = 197,917.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.