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Finding the Fourth Proportional to 256,634.28, 354,163.14 and 143,461.80

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Solution

The fourth proportional to 256,634.28, 354,163.14 and 143,461.80 is: 197,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,634.28 : 354,163.14 = 143,461.80 : x
  2. Step 2: Convert to fraction form
    256,634.28/354,163.14 = 143,461.80/x
  3. Step 3: Cross multiply
    256,634.28x = 354,163.14 × 143,461.80
  4. Step 4: Simplify right side
    256,634.28x = 50,808,881,558.05
  5. Step 5: Solve for x
    x = 50,808,881,558.05/256,634.28
  6. Step 6: Final answer
    x = 197,981.66

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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.