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Finding the Fourth Proportional to 264,551.80, 365,099.70 and 149,829

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Solution

The fourth proportional to 264,551.80, 365,099.70 and 149,829 is: 206,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,551.80 : 365,099.70 = 149,829 : x
  2. Step 2: Convert to fraction form
    264,551.80/365,099.70 = 149,829/x
  3. Step 3: Cross multiply
    264,551.80x = 365,099.70 × 149,829
  4. Step 4: Simplify right side
    264,551.80x = 54,702,522,951.30
  5. Step 5: Solve for x
    x = 54,702,522,951.30/264,551.80
  6. Step 6: Final answer
    x = 206,774.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.