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Finding the Fourth Proportional to 131,305, 196,957.74 and 32,809

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Solution

The fourth proportional to 131,305, 196,957.74 and 32,809 is: 49,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,305 : 196,957.74 = 32,809 : x
  2. Step 2: Convert to fraction form
    131,305/196,957.74 = 32,809/x
  3. Step 3: Cross multiply
    131,305x = 196,957.74 × 32,809
  4. Step 4: Simplify right side
    131,305x = 6,461,986,491.66
  5. Step 5: Solve for x
    x = 6,461,986,491.66/131,305
  6. Step 6: Final answer
    x = 49,213.56

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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.