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Finding the Fourth Proportional to 213,516.68, 320,166.16 and 71,310.76

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Solution

The fourth proportional to 213,516.68, 320,166.16 and 71,310.76 is: 106,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,516.68 : 320,166.16 = 71,310.76 : x
  2. Step 2: Convert to fraction form
    213,516.68/320,166.16 = 71,310.76/x
  3. Step 3: Cross multiply
    213,516.68x = 320,166.16 × 71,310.76
  4. Step 4: Simplify right side
    213,516.68x = 22,831,292,195.88
  5. Step 5: Solve for x
    x = 22,831,292,195.88/213,516.68
  6. Step 6: Final answer
    x = 106,929.78

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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.