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Finding the Fourth Proportional to 263,682.88, 363,819.36 and 156,234.36

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Solution

The fourth proportional to 263,682.88, 363,819.36 and 156,234.36 is: 215,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,682.88 : 363,819.36 = 156,234.36 : x
  2. Step 2: Convert to fraction form
    263,682.88/363,819.36 = 156,234.36/x
  3. Step 3: Cross multiply
    263,682.88x = 363,819.36 × 156,234.36
  4. Step 4: Simplify right side
    263,682.88x = 56,841,084,865.21
  5. Step 5: Solve for x
    x = 56,841,084,865.21/263,682.88
  6. Step 6: Final answer
    x = 215,566.08

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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.