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Finding the Fourth Proportional to 256,901.90, 354,517.29 and 142,185.24

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Solution

The fourth proportional to 256,901.90, 354,517.29 and 142,185.24 is: 196,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,901.90 : 354,517.29 = 142,185.24 : x
  2. Step 2: Convert to fraction form
    256,901.90/354,517.29 = 142,185.24/x
  3. Step 3: Cross multiply
    256,901.90x = 354,517.29 × 142,185.24
  4. Step 4: Simplify right side
    256,901.90x = 50,407,125,962.80
  5. Step 5: Solve for x
    x = 50,407,125,962.80/256,901.90
  6. Step 6: Final answer
    x = 196,211.58

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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.