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Finding the Fourth Proportional to 365,982.10, 548,916.98 and 99,763.96

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Solution

The fourth proportional to 365,982.10, 548,916.98 and 99,763.96 is: 149,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,982.10 : 548,916.98 = 99,763.96 : x
  2. Step 2: Convert to fraction form
    365,982.10/548,916.98 = 99,763.96/x
  3. Step 3: Cross multiply
    365,982.10x = 548,916.98 × 99,763.96
  4. Step 4: Simplify right side
    365,982.10x = 54,762,131,636.04
  5. Step 5: Solve for x
    x = 54,762,131,636.04/365,982.10
  6. Step 6: Final answer
    x = 149,630.63

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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.