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Finding the Fourth Proportional to 382,077, 573,202.98 and 132,759

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Solution

The fourth proportional to 382,077, 573,202.98 and 132,759 is: 199,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,077 : 573,202.98 = 132,759 : x
  2. Step 2: Convert to fraction form
    382,077/573,202.98 = 132,759/x
  3. Step 3: Cross multiply
    382,077x = 573,202.98 × 132,759
  4. Step 4: Simplify right side
    382,077x = 76,097,854,421.82
  5. Step 5: Solve for x
    x = 76,097,854,421.82/382,077
  6. Step 6: Final answer
    x = 199,168.90

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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.