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Finding the Fourth Proportional to 256,137.36, 353,460.96 and 141,414.09

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Solution

The fourth proportional to 256,137.36, 353,460.96 and 141,414.09 is: 195,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,137.36 : 353,460.96 = 141,414.09 : x
  2. Step 2: Convert to fraction form
    256,137.36/353,460.96 = 141,414.09/x
  3. Step 3: Cross multiply
    256,137.36x = 353,460.96 × 141,414.09
  4. Step 4: Simplify right side
    256,137.36x = 49,984,360,008.93
  5. Step 5: Solve for x
    x = 49,984,360,008.93/256,137.36
  6. Step 6: Final answer
    x = 195,146.70

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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.