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Finding the Fourth Proportional to 256,436.28, 353,883.14 and 140,152.09

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Solution

The fourth proportional to 256,436.28, 353,883.14 and 140,152.09 is: 193,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,436.28 : 353,883.14 = 140,152.09 : x
  2. Step 2: Convert to fraction form
    256,436.28/353,883.14 = 140,152.09/x
  3. Step 3: Cross multiply
    256,436.28x = 353,883.14 × 140,152.09
  4. Step 4: Simplify right side
    256,436.28x = 49,597,462,078.75
  5. Step 5: Solve for x
    x = 49,597,462,078.75/256,436.28
  6. Step 6: Final answer
    x = 193,410.47

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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.