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Finding the Fourth Proportional to 234,634.96, 323,624.23 and 154,033.08

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Solution

The fourth proportional to 234,634.96, 323,624.23 and 154,033.08 is: 212,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,634.96 : 323,624.23 = 154,033.08 : x
  2. Step 2: Convert to fraction form
    234,634.96/323,624.23 = 154,033.08/x
  3. Step 3: Cross multiply
    234,634.96x = 323,624.23 × 154,033.08
  4. Step 4: Simplify right side
    234,634.96x = 49,848,836,909.53
  5. Step 5: Solve for x
    x = 49,848,836,909.53/234,634.96
  6. Step 6: Final answer
    x = 212,452.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.