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Finding the Fourth Proportional to 99,668.62, 149,355.30 and 82,024.58

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Solution

The fourth proportional to 99,668.62, 149,355.30 and 82,024.58 is: 122,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,668.62 : 149,355.30 = 82,024.58 : x
  2. Step 2: Convert to fraction form
    99,668.62/149,355.30 = 82,024.58/x
  3. Step 3: Cross multiply
    99,668.62x = 149,355.30 × 82,024.58
  4. Step 4: Simplify right side
    99,668.62x = 12,250,805,753.27
  5. Step 5: Solve for x
    x = 12,250,805,753.27/99,668.62
  6. Step 6: Final answer
    x = 122,915.37

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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.