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Finding the Fourth Proportional to 275,524.74, 412,892.43 and 156,951.26

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Solution

The fourth proportional to 275,524.74, 412,892.43 and 156,951.26 is: 235,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,524.74 : 412,892.43 = 156,951.26 : x
  2. Step 2: Convert to fraction form
    275,524.74/412,892.43 = 156,951.26/x
  3. Step 3: Cross multiply
    275,524.74x = 412,892.43 × 156,951.26
  4. Step 4: Simplify right side
    275,524.74x = 64,803,987,132.96
  5. Step 5: Solve for x
    x = 64,803,987,132.96/275,524.74
  6. Step 6: Final answer
    x = 235,202.06

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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.