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Finding the Fourth Proportional to 256,982.79, 354,639.05 and 142,263.34

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Solution

The fourth proportional to 256,982.79, 354,639.05 and 142,263.34 is: 196,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,982.79 : 354,639.05 = 142,263.34 : x
  2. Step 2: Convert to fraction form
    256,982.79/354,639.05 = 142,263.34/x
  3. Step 3: Cross multiply
    256,982.79x = 354,639.05 × 142,263.34
  4. Step 4: Simplify right side
    256,982.79x = 50,452,135,083.12
  5. Step 5: Solve for x
    x = 50,452,135,083.12/256,982.79
  6. Step 6: Final answer
    x = 196,324.95

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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.