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Finding the Fourth Proportional to 213,869.34, 295,205.44 and 123,285.90

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Solution

The fourth proportional to 213,869.34, 295,205.44 and 123,285.90 is: 170,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,869.34 : 295,205.44 = 123,285.90 : x
  2. Step 2: Convert to fraction form
    213,869.34/295,205.44 = 123,285.90/x
  3. Step 3: Cross multiply
    213,869.34x = 295,205.44 × 123,285.90
  4. Step 4: Simplify right side
    213,869.34x = 36,394,668,355.30
  5. Step 5: Solve for x
    x = 36,394,668,355.30/213,869.34
  6. Step 6: Final answer
    x = 170,172.44

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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.