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Finding the Fourth Proportional to 104,912.15, 157,414.74 and 54,980.38

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Solution

The fourth proportional to 104,912.15, 157,414.74 and 54,980.38 is: 82,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,912.15 : 157,414.74 = 54,980.38 : x
  2. Step 2: Convert to fraction form
    104,912.15/157,414.74 = 54,980.38/x
  3. Step 3: Cross multiply
    104,912.15x = 157,414.74 × 54,980.38
  4. Step 4: Simplify right side
    104,912.15x = 8,654,721,160.83
  5. Step 5: Solve for x
    x = 8,654,721,160.83/104,912.15
  6. Step 6: Final answer
    x = 82,494.94

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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.