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Finding the Fourth Proportional to 365,730.63, 548,632.85 and 137,969.09

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Solution

The fourth proportional to 365,730.63, 548,632.85 and 137,969.09 is: 206,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,730.63 : 548,632.85 = 137,969.09 : x
  2. Step 2: Convert to fraction form
    365,730.63/548,632.85 = 137,969.09/x
  3. Step 3: Cross multiply
    365,730.63x = 548,632.85 × 137,969.09
  4. Step 4: Simplify right side
    365,730.63x = 75,694,373,682.97
  5. Step 5: Solve for x
    x = 75,694,373,682.97/365,730.63
  6. Step 6: Final answer
    x = 206,967.56

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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.