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Finding the Fourth Proportional to 218,532.85, 327,846.17 and 123,808.41

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Solution

The fourth proportional to 218,532.85, 327,846.17 and 123,808.41 is: 185,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,532.85 : 327,846.17 = 123,808.41 : x
  2. Step 2: Convert to fraction form
    218,532.85/327,846.17 = 123,808.41/x
  3. Step 3: Cross multiply
    218,532.85x = 327,846.17 × 123,808.41
  4. Step 4: Simplify right side
    218,532.85x = 40,590,113,032.29
  5. Step 5: Solve for x
    x = 40,590,113,032.29/218,532.85
  6. Step 6: Final answer
    x = 185,739.18

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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.