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Finding the Fourth Proportional to 136,163.40, 204,245.10 and 101,171.40

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Solution

The fourth proportional to 136,163.40, 204,245.10 and 101,171.40 is: 151,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,163.40 : 204,245.10 = 101,171.40 : x
  2. Step 2: Convert to fraction form
    136,163.40/204,245.10 = 101,171.40/x
  3. Step 3: Cross multiply
    136,163.40x = 204,245.10 × 101,171.40
  4. Step 4: Simplify right side
    136,163.40x = 20,663,762,710.14
  5. Step 5: Solve for x
    x = 20,663,762,710.14/136,163.40
  6. Step 6: Final answer
    x = 151,757.10

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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.