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Finding the Fourth Proportional to 117,739.20, 176,608.80 and 51,211.20

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Solution

The fourth proportional to 117,739.20, 176,608.80 and 51,211.20 is: 76,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,739.20 : 176,608.80 = 51,211.20 : x
  2. Step 2: Convert to fraction form
    117,739.20/176,608.80 = 51,211.20/x
  3. Step 3: Cross multiply
    117,739.20x = 176,608.80 × 51,211.20
  4. Step 4: Simplify right side
    117,739.20x = 9,044,348,578.56
  5. Step 5: Solve for x
    x = 9,044,348,578.56/117,739.20
  6. Step 6: Final answer
    x = 76,816.80

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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.