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Finding the Fourth Proportional to 256,847.89, 354,450.51 and 142,131.36

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Solution

The fourth proportional to 256,847.89, 354,450.51 and 142,131.36 is: 196,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,847.89 : 354,450.51 = 142,131.36 : x
  2. Step 2: Convert to fraction form
    256,847.89/354,450.51 = 142,131.36/x
  3. Step 3: Cross multiply
    256,847.89x = 354,450.51 × 142,131.36
  4. Step 4: Simplify right side
    256,847.89x = 50,378,533,038.99
  5. Step 5: Solve for x
    x = 50,378,533,038.99/256,847.89
  6. Step 6: Final answer
    x = 196,141.51

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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.