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Finding the Fourth Proportional to 104,222.75, 156,295.83 and 35,814.90

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Solution

The fourth proportional to 104,222.75, 156,295.83 and 35,814.90 is: 53,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,222.75 : 156,295.83 = 35,814.90 : x
  2. Step 2: Convert to fraction form
    104,222.75/156,295.83 = 35,814.90/x
  3. Step 3: Cross multiply
    104,222.75x = 156,295.83 × 35,814.90
  4. Step 4: Simplify right side
    104,222.75x = 5,597,719,521.87
  5. Step 5: Solve for x
    x = 5,597,719,521.87/104,222.75
  6. Step 6: Final answer
    x = 53,709.19

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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.