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Finding the Fourth Proportional to 177,796.80, 266,176.80 and 172,612.80

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Solution

The fourth proportional to 177,796.80, 266,176.80 and 172,612.80 is: 258,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,796.80 : 266,176.80 = 172,612.80 : x
  2. Step 2: Convert to fraction form
    177,796.80/266,176.80 = 172,612.80/x
  3. Step 3: Cross multiply
    177,796.80x = 266,176.80 × 172,612.80
  4. Step 4: Simplify right side
    177,796.80x = 45,945,522,743.04
  5. Step 5: Solve for x
    x = 45,945,522,743.04/177,796.80
  6. Step 6: Final answer
    x = 258,415.91

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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.