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Finding the Fourth Proportional to 117,906.60, 176,471.10 and 82,914.60

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Solution

The fourth proportional to 117,906.60, 176,471.10 and 82,914.60 is: 124,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,906.60 : 176,471.10 = 82,914.60 : x
  2. Step 2: Convert to fraction form
    117,906.60/176,471.10 = 82,914.60/x
  3. Step 3: Cross multiply
    117,906.60x = 176,471.10 × 82,914.60
  4. Step 4: Simplify right side
    117,906.60x = 14,632,030,668.06
  5. Step 5: Solve for x
    x = 14,632,030,668.06/117,906.60
  6. Step 6: Final answer
    x = 124,098.49

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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.