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Finding the Fourth Proportional to 256,896.34, 354,509.65 and 142,179.79

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Solution

The fourth proportional to 256,896.34, 354,509.65 and 142,179.79 is: 196,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,896.34 : 354,509.65 = 142,179.79 : x
  2. Step 2: Convert to fraction form
    256,896.34/354,509.65 = 142,179.79/x
  3. Step 3: Cross multiply
    256,896.34x = 354,509.65 × 142,179.79
  4. Step 4: Simplify right side
    256,896.34x = 50,404,107,589.97
  5. Step 5: Solve for x
    x = 50,404,107,589.97/256,896.34
  6. Step 6: Final answer
    x = 196,204.07

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1.5x scale

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.