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Finding the Fourth Proportional to 213,311.49, 294,371.65 and 117,819.78

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Solution

The fourth proportional to 213,311.49, 294,371.65 and 117,819.78 is: 162,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,311.49 : 294,371.65 = 117,819.78 : x
  2. Step 2: Convert to fraction form
    213,311.49/294,371.65 = 117,819.78/x
  3. Step 3: Cross multiply
    213,311.49x = 294,371.65 × 117,819.78
  4. Step 4: Simplify right side
    213,311.49x = 34,682,802,084.62
  5. Step 5: Solve for x
    x = 34,682,802,084.62/213,311.49
  6. Step 6: Final answer
    x = 162,592.29

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