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Finding the Fourth Proportional to 213,446.20, 319,748.10 and 108,340.60

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Solution

The fourth proportional to 213,446.20, 319,748.10 and 108,340.60 is: 162,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,446.20 : 319,748.10 = 108,340.60 : x
  2. Step 2: Convert to fraction form
    213,446.20/319,748.10 = 108,340.60/x
  3. Step 3: Cross multiply
    213,446.20x = 319,748.10 × 108,340.60
  4. Step 4: Simplify right side
    213,446.20x = 34,641,701,002.86
  5. Step 5: Solve for x
    x = 34,641,701,002.86/213,446.20
  6. Step 6: Final answer
    x = 162,297.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.