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Finding the Fourth Proportional to 275,913.96, 413,536.14 and 195,825.48

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Solution

The fourth proportional to 275,913.96, 413,536.14 and 195,825.48 is: 293,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,913.96 : 413,536.14 = 195,825.48 : x
  2. Step 2: Convert to fraction form
    275,913.96/413,536.14 = 195,825.48/x
  3. Step 3: Cross multiply
    275,913.96x = 413,536.14 × 195,825.48
  4. Step 4: Simplify right side
    275,913.96x = 80,980,913,112.85
  5. Step 5: Solve for x
    x = 80,980,913,112.85/275,913.96
  6. Step 6: Final answer
    x = 293,500.60

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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.