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Finding the Fourth Proportional to 177,234.43, 265,891.20 and 64,912.27

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Solution

The fourth proportional to 177,234.43, 265,891.20 and 64,912.27 is: 97,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,234.43 : 265,891.20 = 64,912.27 : x
  2. Step 2: Convert to fraction form
    177,234.43/265,891.20 = 64,912.27/x
  3. Step 3: Cross multiply
    177,234.43x = 265,891.20 × 64,912.27
  4. Step 4: Simplify right side
    177,234.43x = 17,259,601,365.02
  5. Step 5: Solve for x
    x = 17,259,601,365.02/177,234.43
  6. Step 6: Final answer
    x = 97,382.89

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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.