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Finding the Fourth Proportional to 138,163.40, 207,245.10 and 135,091.40

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Solution

The fourth proportional to 138,163.40, 207,245.10 and 135,091.40 is: 202,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163.40 : 207,245.10 = 135,091.40 : x
  2. Step 2: Convert to fraction form
    138,163.40/207,245.10 = 135,091.40/x
  3. Step 3: Cross multiply
    138,163.40x = 207,245.10 × 135,091.40
  4. Step 4: Simplify right side
    138,163.40x = 27,997,030,702.14
  5. Step 5: Solve for x
    x = 27,997,030,702.14/138,163.40
  6. Step 6: Final answer
    x = 202,637.10

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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.