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Finding the Fourth Proportional to 256,538.21, 354,023.21 and 143,360.96

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Solution

The fourth proportional to 256,538.21, 354,023.21 and 143,360.96 is: 197,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,538.21 : 354,023.21 = 143,360.96 : x
  2. Step 2: Convert to fraction form
    256,538.21/354,023.21 = 143,360.96/x
  3. Step 3: Cross multiply
    256,538.21x = 354,023.21 × 143,360.96
  4. Step 4: Simplify right side
    256,538.21x = 50,753,107,247.88
  5. Step 5: Solve for x
    x = 50,753,107,247.88/256,538.21
  6. Step 6: Final answer
    x = 197,838.39

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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.