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Finding the Fourth Proportional to 177,796.20, 266,694.30 and 53,137.20

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Solution

The fourth proportional to 177,796.20, 266,694.30 and 53,137.20 is: 79,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,796.20 : 266,694.30 = 53,137.20 : x
  2. Step 2: Convert to fraction form
    177,796.20/266,694.30 = 53,137.20/x
  3. Step 3: Cross multiply
    177,796.20x = 266,694.30 × 53,137.20
  4. Step 4: Simplify right side
    177,796.20x = 14,171,388,357.96
  5. Step 5: Solve for x
    x = 14,171,388,357.96/177,796.20
  6. Step 6: Final answer
    x = 79,705.80

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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.