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Finding the Fourth Proportional to 145,408.40, 218,112.60 and 82,163.60

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Solution

The fourth proportional to 145,408.40, 218,112.60 and 82,163.60 is: 123,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408.40 : 218,112.60 = 82,163.60 : x
  2. Step 2: Convert to fraction form
    145,408.40/218,112.60 = 82,163.60/x
  3. Step 3: Cross multiply
    145,408.40x = 218,112.60 × 82,163.60
  4. Step 4: Simplify right side
    145,408.40x = 17,920,916,421.36
  5. Step 5: Solve for x
    x = 17,920,916,421.36/145,408.40
  6. Step 6: Final answer
    x = 123,245.40

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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.