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Finding the Fourth Proportional to 256,194.35, 384,525.90 and 129,921.75

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Solution

The fourth proportional to 256,194.35, 384,525.90 and 129,921.75 is: 195,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,194.35 : 384,525.90 = 129,921.75 : x
  2. Step 2: Convert to fraction form
    256,194.35/384,525.90 = 129,921.75/x
  3. Step 3: Cross multiply
    256,194.35x = 384,525.90 × 129,921.75
  4. Step 4: Simplify right side
    256,194.35x = 49,958,277,848.33
  5. Step 5: Solve for x
    x = 49,958,277,848.33/256,194.35
  6. Step 6: Final answer
    x = 195,001.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.