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Finding the Fourth Proportional to 109,466.62, 164,199.72 and 84,542.92

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Solution

The fourth proportional to 109,466.62, 164,199.72 and 84,542.92 is: 126,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466.62 : 164,199.72 = 84,542.92 : x
  2. Step 2: Convert to fraction form
    109,466.62/164,199.72 = 84,542.92/x
  3. Step 3: Cross multiply
    109,466.62x = 164,199.72 × 84,542.92
  4. Step 4: Simplify right side
    109,466.62x = 13,881,923,791.98
  5. Step 5: Solve for x
    x = 13,881,923,791.98/109,466.62
  6. Step 6: Final answer
    x = 126,814.22

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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.