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Finding the Fourth Proportional to 256,055.34, 353,367.46 and 142,878.09

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Solution

The fourth proportional to 256,055.34, 353,367.46 and 142,878.09 is: 197,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,055.34 : 353,367.46 = 142,878.09 : x
  2. Step 2: Convert to fraction form
    256,055.34/353,367.46 = 142,878.09/x
  3. Step 3: Cross multiply
    256,055.34x = 353,367.46 × 142,878.09
  4. Step 4: Simplify right side
    256,055.34x = 50,488,469,256.68
  5. Step 5: Solve for x
    x = 50,488,469,256.68/256,055.34
  6. Step 6: Final answer
    x = 197,177.96

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