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Finding the Fourth Proportional to 99,361.65, 149,006.43 and 54,416.41

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Solution

The fourth proportional to 99,361.65, 149,006.43 and 54,416.41 is: 81,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,361.65 : 149,006.43 = 54,416.41 : x
  2. Step 2: Convert to fraction form
    99,361.65/149,006.43 = 54,416.41/x
  3. Step 3: Cross multiply
    99,361.65x = 149,006.43 × 54,416.41
  4. Step 4: Simplify right side
    99,361.65x = 8,108,394,461.95
  5. Step 5: Solve for x
    x = 8,108,394,461.95/99,361.65
  6. Step 6: Final answer
    x = 81,604.87

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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.