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Finding the Fourth Proportional to 177,769.86, 266,654.25 and 59,414.10

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Solution

The fourth proportional to 177,769.86, 266,654.25 and 59,414.10 is: 89,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,769.86 : 266,654.25 = 59,414.10 : x
  2. Step 2: Convert to fraction form
    177,769.86/266,654.25 = 59,414.10/x
  3. Step 3: Cross multiply
    177,769.86x = 266,654.25 × 59,414.10
  4. Step 4: Simplify right side
    177,769.86x = 15,843,022,274.93
  5. Step 5: Solve for x
    x = 15,843,022,274.93/177,769.86
  6. Step 6: Final answer
    x = 89,120.97

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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.