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Finding the Fourth Proportional to 263,814.96, 363,972.12 and 149,078.64

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Solution

The fourth proportional to 263,814.96, 363,972.12 and 149,078.64 is: 205,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,814.96 : 363,972.12 = 149,078.64 : x
  2. Step 2: Convert to fraction form
    263,814.96/363,972.12 = 149,078.64/x
  3. Step 3: Cross multiply
    263,814.96x = 363,972.12 × 149,078.64
  4. Step 4: Simplify right side
    263,814.96x = 54,260,468,647.52
  5. Step 5: Solve for x
    x = 54,260,468,647.52/263,814.96
  6. Step 6: Final answer
    x = 205,676.24

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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.