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Finding the Fourth Proportional to 263,538.70, 363,686.34 and 142,682.62

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Solution

The fourth proportional to 263,538.70, 363,686.34 and 142,682.62 is: 196,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,538.70 : 363,686.34 = 142,682.62 : x
  2. Step 2: Convert to fraction form
    263,538.70/363,686.34 = 142,682.62/x
  3. Step 3: Cross multiply
    263,538.70x = 363,686.34 × 142,682.62
  4. Step 4: Simplify right side
    263,538.70x = 51,891,719,849.41
  5. Step 5: Solve for x
    x = 51,891,719,849.41/263,538.70
  6. Step 6: Final answer
    x = 196,903.60

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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.