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Finding the Fourth Proportional to 256,933.96, 354,546.65 and 142,212.75

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Solution

The fourth proportional to 256,933.96, 354,546.65 and 142,212.75 is: 196,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,933.96 : 354,546.65 = 142,212.75 : x
  2. Step 2: Convert to fraction form
    256,933.96/354,546.65 = 142,212.75/x
  3. Step 3: Cross multiply
    256,933.96x = 354,546.65 × 142,212.75
  4. Step 4: Simplify right side
    256,933.96x = 50,421,053,125.77
  5. Step 5: Solve for x
    x = 50,421,053,125.77/256,933.96
  6. Step 6: Final answer
    x = 196,241.30

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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.