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Finding the Fourth Proportional to 256,419, 353,857.35 and 141,694.44

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Solution

The fourth proportional to 256,419, 353,857.35 and 141,694.44 is: 195,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,419 : 353,857.35 = 141,694.44 : x
  2. Step 2: Convert to fraction form
    256,419/353,857.35 = 141,694.44/x
  3. Step 3: Cross multiply
    256,419x = 353,857.35 × 141,694.44
  4. Step 4: Simplify right side
    256,419x = 50,139,619,048.13
  5. Step 5: Solve for x
    x = 50,139,619,048.13/256,419
  6. Step 6: Final answer
    x = 195,537.85

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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.