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Finding the Fourth Proportional to 175,755, 263,677.47 and 51,096

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Solution

The fourth proportional to 175,755, 263,677.47 and 51,096 is: 76,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,755 : 263,677.47 = 51,096 : x
  2. Step 2: Convert to fraction form
    175,755/263,677.47 = 51,096/x
  3. Step 3: Cross multiply
    175,755x = 263,677.47 × 51,096
  4. Step 4: Simplify right side
    175,755x = 13,472,864,007.12
  5. Step 5: Solve for x
    x = 13,472,864,007.12/175,755
  6. Step 6: Final answer
    x = 76,657.07

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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.