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Finding the Fourth Proportional to 256,039.21, 353,333.89 and 142,861.96

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Solution

The fourth proportional to 256,039.21, 353,333.89 and 142,861.96 is: 197,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,039.21 : 353,333.89 = 142,861.96 : x
  2. Step 2: Convert to fraction form
    256,039.21/353,333.89 = 142,861.96/x
  3. Step 3: Cross multiply
    256,039.21x = 353,333.89 × 142,861.96
  4. Step 4: Simplify right side
    256,039.21x = 50,477,972,059.82
  5. Step 5: Solve for x
    x = 50,477,972,059.82/256,039.21
  6. Step 6: Final answer
    x = 197,149.38

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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.