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Finding the Fourth Proportional to 177,267.75, 265,861.12 and 50,907

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Solution

The fourth proportional to 177,267.75, 265,861.12 and 50,907 is: 76,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,267.75 : 265,861.12 = 50,907 : x
  2. Step 2: Convert to fraction form
    177,267.75/265,861.12 = 50,907/x
  3. Step 3: Cross multiply
    177,267.75x = 265,861.12 × 50,907
  4. Step 4: Simplify right side
    177,267.75x = 13,534,192,035.84
  5. Step 5: Solve for x
    x = 13,534,192,035.84/177,267.75
  6. Step 6: Final answer
    x = 76,348.87

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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.