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Finding the Fourth Proportional to 218,096.70, 326,902.05 and 84,932.70

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Solution

The fourth proportional to 218,096.70, 326,902.05 and 84,932.70 is: 127,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,096.70 : 326,902.05 = 84,932.70 : x
  2. Step 2: Convert to fraction form
    218,096.70/326,902.05 = 84,932.70/x
  3. Step 3: Cross multiply
    218,096.70x = 326,902.05 × 84,932.70
  4. Step 4: Simplify right side
    218,096.70x = 27,764,673,742.04
  5. Step 5: Solve for x
    x = 27,764,673,742.04/218,096.70
  6. Step 6: Final answer
    x = 127,304.42

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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.