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Finding the Fourth Proportional to 256,898.34, 354,512.41 and 142,181.79

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Solution

The fourth proportional to 256,898.34, 354,512.41 and 142,181.79 is: 196,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,898.34 : 354,512.41 = 142,181.79 : x
  2. Step 2: Convert to fraction form
    256,898.34/354,512.41 = 142,181.79/x
  3. Step 3: Cross multiply
    256,898.34x = 354,512.41 × 142,181.79
  4. Step 4: Simplify right side
    256,898.34x = 50,405,209,031.01
  5. Step 5: Solve for x
    x = 50,405,209,031.01/256,898.34
  6. Step 6: Final answer
    x = 196,206.83

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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.