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Finding the Fourth Proportional to 104,205.96, 156,195.96 and 50,837.16

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Solution

The fourth proportional to 104,205.96, 156,195.96 and 50,837.16 is: 76,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,205.96 : 156,195.96 = 50,837.16 : x
  2. Step 2: Convert to fraction form
    104,205.96/156,195.96 = 50,837.16/x
  3. Step 3: Cross multiply
    104,205.96x = 156,195.96 × 50,837.16
  4. Step 4: Simplify right side
    104,205.96x = 7,940,559,009.87
  5. Step 5: Solve for x
    x = 7,940,559,009.87/104,205.96
  6. Step 6: Final answer
    x = 76,200.62

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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.