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Finding the Fourth Proportional to 135,201.11, 202,786.16 and 35,370.93

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Solution

The fourth proportional to 135,201.11, 202,786.16 and 35,370.93 is: 53,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,201.11 : 202,786.16 = 35,370.93 : x
  2. Step 2: Convert to fraction form
    135,201.11/202,786.16 = 35,370.93/x
  3. Step 3: Cross multiply
    135,201.11x = 202,786.16 × 35,370.93
  4. Step 4: Simplify right side
    135,201.11x = 7,172,735,070.33
  5. Step 5: Solve for x
    x = 7,172,735,070.33/135,201.11
  6. Step 6: Final answer
    x = 53,052.34

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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.