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Finding the Fourth Proportional to 68,180.16, 102,274.90 and 23,183.20

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Solution

The fourth proportional to 68,180.16, 102,274.90 and 23,183.20 is: 34,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,180.16 : 102,274.90 = 23,183.20 : x
  2. Step 2: Convert to fraction form
    68,180.16/102,274.90 = 23,183.20/x
  3. Step 3: Cross multiply
    68,180.16x = 102,274.90 × 23,183.20
  4. Step 4: Simplify right side
    68,180.16x = 2,371,059,461.68
  5. Step 5: Solve for x
    x = 2,371,059,461.68/68,180.16
  6. Step 6: Final answer
    x = 34,776.38

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Why These Related Problems?

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