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Finding the Fourth Proportional to 243,958, 365,604.24 and 149,221.12

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Solution

The fourth proportional to 243,958, 365,604.24 and 149,221.12 is: 223,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,958 : 365,604.24 = 149,221.12 : x
  2. Step 2: Convert to fraction form
    243,958/365,604.24 = 149,221.12/x
  3. Step 3: Cross multiply
    243,958x = 365,604.24 × 149,221.12
  4. Step 4: Simplify right side
    243,958x = 54,555,874,169.55
  5. Step 5: Solve for x
    x = 54,555,874,169.55/243,958
  6. Step 6: Final answer
    x = 223,628.14

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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.