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Finding the Fourth Proportional to 201,198.96, 301,863.96 and 96,004.32

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Solution

The fourth proportional to 201,198.96, 301,863.96 and 96,004.32 is: 144,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,198.96 : 301,863.96 = 96,004.32 : x
  2. Step 2: Convert to fraction form
    201,198.96/301,863.96 = 96,004.32/x
  3. Step 3: Cross multiply
    201,198.96x = 301,863.96 × 96,004.32
  4. Step 4: Simplify right side
    201,198.96x = 28,980,244,212.31
  5. Step 5: Solve for x
    x = 28,980,244,212.31/201,198.96
  6. Step 6: Final answer
    x = 144,037.74

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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.