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Finding the Fourth Proportional to 116,152.43, 160,120.69 and 82,100.84

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Solution

The fourth proportional to 116,152.43, 160,120.69 and 82,100.84 is: 113,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,152.43 : 160,120.69 = 82,100.84 : x
  2. Step 2: Convert to fraction form
    116,152.43/160,120.69 = 82,100.84/x
  3. Step 3: Cross multiply
    116,152.43x = 160,120.69 × 82,100.84
  4. Step 4: Simplify right side
    116,152.43x = 13,146,042,945.13
  5. Step 5: Solve for x
    x = 13,146,042,945.13/116,152.43
  6. Step 6: Final answer
    x = 113,179.23

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