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Finding the Fourth Proportional to 218,585.85, 327,922.97 and 92,226.42

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Solution

The fourth proportional to 218,585.85, 327,922.97 and 92,226.42 is: 138,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,585.85 : 327,922.97 = 92,226.42 : x
  2. Step 2: Convert to fraction form
    218,585.85/327,922.97 = 92,226.42/x
  3. Step 3: Cross multiply
    218,585.85x = 327,922.97 × 92,226.42
  4. Step 4: Simplify right side
    218,585.85x = 30,243,161,097.74
  5. Step 5: Solve for x
    x = 30,243,161,097.74/218,585.85
  6. Step 6: Final answer
    x = 138,358.27

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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.