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Finding the Fourth Proportional to 135,078.08, 202,617.23 and 35,238.16

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Solution

The fourth proportional to 135,078.08, 202,617.23 and 35,238.16 is: 52,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,078.08 : 202,617.23 = 35,238.16 : x
  2. Step 2: Convert to fraction form
    135,078.08/202,617.23 = 35,238.16/x
  3. Step 3: Cross multiply
    135,078.08x = 202,617.23 × 35,238.16
  4. Step 4: Simplify right side
    135,078.08x = 7,139,858,369.50
  5. Step 5: Solve for x
    x = 7,139,858,369.50/135,078.08
  6. Step 6: Final answer
    x = 52,857.27

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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.