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Finding the Fourth Proportional to 156,729.80, 216,286.46 and 85,109.24

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Solution

The fourth proportional to 156,729.80, 216,286.46 and 85,109.24 is: 117,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729.80 : 216,286.46 = 85,109.24 : x
  2. Step 2: Convert to fraction form
    156,729.80/216,286.46 = 85,109.24/x
  3. Step 3: Cross multiply
    156,729.80x = 216,286.46 × 85,109.24
  4. Step 4: Simplify right side
    156,729.80x = 18,407,976,232.89
  5. Step 5: Solve for x
    x = 18,407,976,232.89/156,729.80
  6. Step 6: Final answer
    x = 117,450.39

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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.