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Finding the Fourth Proportional to 104,711.89, 156,863.17 and 83,696.17

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Solution

The fourth proportional to 104,711.89, 156,863.17 and 83,696.17 is: 125,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,711.89 : 156,863.17 = 83,696.17 : x
  2. Step 2: Convert to fraction form
    104,711.89/156,863.17 = 83,696.17/x
  3. Step 3: Cross multiply
    104,711.89x = 156,863.17 × 83,696.17
  4. Step 4: Simplify right side
    104,711.89x = 13,128,846,543.06
  5. Step 5: Solve for x
    x = 13,128,846,543.06/104,711.89
  6. Step 6: Final answer
    x = 125,380.67

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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.