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Finding the Fourth Proportional to 104,912.22, 157,414.86 and 54,980.47

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Solution

The fourth proportional to 104,912.22, 157,414.86 and 54,980.47 is: 82,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,912.22 : 157,414.86 = 54,980.47 : x
  2. Step 2: Convert to fraction form
    104,912.22/157,414.86 = 54,980.47/x
  3. Step 3: Cross multiply
    104,912.22x = 157,414.86 × 54,980.47
  4. Step 4: Simplify right side
    104,912.22x = 8,654,742,299.09
  5. Step 5: Solve for x
    x = 8,654,742,299.09/104,912.22
  6. Step 6: Final answer
    x = 82,495.08

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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.