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Finding the Fourth Proportional to 256,846.89, 354,449.13 and 142,130.36

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Solution

The fourth proportional to 256,846.89, 354,449.13 and 142,130.36 is: 196,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,846.89 : 354,449.13 = 142,130.36 : x
  2. Step 2: Convert to fraction form
    256,846.89/354,449.13 = 142,130.36/x
  3. Step 3: Cross multiply
    256,846.89x = 354,449.13 × 142,130.36
  4. Step 4: Simplify right side
    256,846.89x = 50,377,982,448.59
  5. Step 5: Solve for x
    x = 50,377,982,448.59/256,846.89
  6. Step 6: Final answer
    x = 196,140.13

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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.