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Finding the Fourth Proportional to 104,912.41, 157,415.14 and 54,980.64

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Solution

The fourth proportional to 104,912.41, 157,415.14 and 54,980.64 is: 82,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,912.41 : 157,415.14 = 54,980.64 : x
  2. Step 2: Convert to fraction form
    104,912.41/157,415.14 = 54,980.64/x
  3. Step 3: Cross multiply
    104,912.41x = 157,415.14 × 54,980.64
  4. Step 4: Simplify right side
    104,912.41x = 8,654,785,142.89
  5. Step 5: Solve for x
    x = 8,654,785,142.89/104,912.41
  6. Step 6: Final answer
    x = 82,495.34

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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.