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Finding the Fourth Proportional to 355,896.96, 491,137.78 and 194,752.02

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Solution

The fourth proportional to 355,896.96, 491,137.78 and 194,752.02 is: 268,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,896.96 : 491,137.78 = 194,752.02 : x
  2. Step 2: Convert to fraction form
    355,896.96/491,137.78 = 194,752.02/x
  3. Step 3: Cross multiply
    355,896.96x = 491,137.78 × 194,752.02
  4. Step 4: Simplify right side
    355,896.96x = 95,650,074,753.32
  5. Step 5: Solve for x
    x = 95,650,074,753.32/355,896.96
  6. Step 6: Final answer
    x = 268,757.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.