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Finding the Fourth Proportional to 118,954.98, 164,142.70 and 67,971.02

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Solution

The fourth proportional to 118,954.98, 164,142.70 and 67,971.02 is: 93,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,954.98 : 164,142.70 = 67,971.02 : x
  2. Step 2: Convert to fraction form
    118,954.98/164,142.70 = 67,971.02/x
  3. Step 3: Cross multiply
    118,954.98x = 164,142.70 × 67,971.02
  4. Step 4: Simplify right side
    118,954.98x = 11,156,945,753.91
  5. Step 5: Solve for x
    x = 11,156,945,753.91/118,954.98
  6. Step 6: Final answer
    x = 93,791.33

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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.