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Finding the Fourth Proportional to 256,905.68, 354,522.50 and 142,189.02

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Solution

The fourth proportional to 256,905.68, 354,522.50 and 142,189.02 is: 196,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,905.68 : 354,522.50 = 142,189.02 : x
  2. Step 2: Convert to fraction form
    256,905.68/354,522.50 = 142,189.02/x
  3. Step 3: Cross multiply
    256,905.68x = 354,522.50 × 142,189.02
  4. Step 4: Simplify right side
    256,905.68x = 50,409,206,265.31
  5. Step 5: Solve for x
    x = 50,409,206,265.31/256,905.68
  6. Step 6: Final answer
    x = 196,216.79

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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.