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Finding the Fourth Proportional to 234,511.33, 323,624.82 and 127,084

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Solution

The fourth proportional to 234,511.33, 323,624.82 and 127,084 is: 175,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,511.33 : 323,624.82 = 127,084 : x
  2. Step 2: Convert to fraction form
    234,511.33/323,624.82 = 127,084/x
  3. Step 3: Cross multiply
    234,511.33x = 323,624.82 × 127,084
  4. Step 4: Simplify right side
    234,511.33x = 41,127,536,624.88
  5. Step 5: Solve for x
    x = 41,127,536,624.88/234,511.33
  6. Step 6: Final answer
    x = 175,375.48

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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.