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Finding the Fourth Proportional to 119,546.22, 164,974.26 and 71,800.38

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Solution

The fourth proportional to 119,546.22, 164,974.26 and 71,800.38 is: 99,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,546.22 : 164,974.26 = 71,800.38 : x
  2. Step 2: Convert to fraction form
    119,546.22/164,974.26 = 71,800.38/x
  3. Step 3: Cross multiply
    119,546.22x = 164,974.26 × 71,800.38
  4. Step 4: Simplify right side
    119,546.22x = 11,845,214,558.22
  5. Step 5: Solve for x
    x = 11,845,214,558.22/119,546.22
  6. Step 6: Final answer
    x = 99,084.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.