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Finding the Fourth Proportional to 256,690.62, 354,222.90 and 141,961.86

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Solution

The fourth proportional to 256,690.62, 354,222.90 and 141,961.86 is: 195,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,690.62 : 354,222.90 = 141,961.86 : x
  2. Step 2: Convert to fraction form
    256,690.62/354,222.90 = 141,961.86/x
  3. Step 3: Cross multiply
    256,690.62x = 354,222.90 × 141,961.86
  4. Step 4: Simplify right side
    256,690.62x = 50,286,141,738.59
  5. Step 5: Solve for x
    x = 50,286,141,738.59/256,690.62
  6. Step 6: Final answer
    x = 195,901.75

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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.