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Finding the Fourth Proportional to 263,363.67, 363,439.13 and 142,502.30

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Solution

The fourth proportional to 263,363.67, 363,439.13 and 142,502.30 is: 196,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,363.67 : 363,439.13 = 142,502.30 : x
  2. Step 2: Convert to fraction form
    263,363.67/363,439.13 = 142,502.30/x
  3. Step 3: Cross multiply
    263,363.67x = 363,439.13 × 142,502.30
  4. Step 4: Simplify right side
    263,363.67x = 51,790,909,405.29
  5. Step 5: Solve for x
    x = 51,790,909,405.29/263,363.67
  6. Step 6: Final answer
    x = 196,651.68

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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.