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Finding the Fourth Proportional to 263,542.86, 395,388.11 and 105,882.03

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Solution

The fourth proportional to 263,542.86, 395,388.11 and 105,882.03 is: 158,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,542.86 : 395,388.11 = 105,882.03 : x
  2. Step 2: Convert to fraction form
    263,542.86/395,388.11 = 105,882.03/x
  3. Step 3: Cross multiply
    263,542.86x = 395,388.11 × 105,882.03
  4. Step 4: Simplify right side
    263,542.86x = 41,864,495,989.37
  5. Step 5: Solve for x
    x = 41,864,495,989.37/263,542.86
  6. Step 6: Final answer
    x = 158,852.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.