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Finding the Fourth Proportional to 263,115.99, 363,100.05 and 142,257.24

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Solution

The fourth proportional to 263,115.99, 363,100.05 and 142,257.24 is: 196,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,115.99 : 363,100.05 = 142,257.24 : x
  2. Step 2: Convert to fraction form
    263,115.99/363,100.05 = 142,257.24/x
  3. Step 3: Cross multiply
    263,115.99x = 363,100.05 × 142,257.24
  4. Step 4: Simplify right side
    263,115.99x = 51,653,610,956.86
  5. Step 5: Solve for x
    x = 51,653,610,956.86/263,115.99
  6. Step 6: Final answer
    x = 196,314.98

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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.