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Finding the Fourth Proportional to 256,131.57, 353,428.97 and 142,959.09

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Solution

The fourth proportional to 256,131.57, 353,428.97 and 142,959.09 is: 197,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,131.57 : 353,428.97 = 142,959.09 : x
  2. Step 2: Convert to fraction form
    256,131.57/353,428.97 = 142,959.09/x
  3. Step 3: Cross multiply
    256,131.57x = 353,428.97 × 142,959.09
  4. Step 4: Simplify right side
    256,131.57x = 50,525,883,216.04
  5. Step 5: Solve for x
    x = 50,525,883,216.04/256,131.57
  6. Step 6: Final answer
    x = 197,265.35

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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.