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Finding the Fourth Proportional to 108,044.10, 161,738.10 and 96,234.30

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Solution

The fourth proportional to 108,044.10, 161,738.10 and 96,234.30 is: 144,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,044.10 : 161,738.10 = 96,234.30 : x
  2. Step 2: Convert to fraction form
    108,044.10/161,738.10 = 96,234.30/x
  3. Step 3: Cross multiply
    108,044.10x = 161,738.10 × 96,234.30
  4. Step 4: Simplify right side
    108,044.10x = 15,564,752,836.83
  5. Step 5: Solve for x
    x = 15,564,752,836.83/108,044.10
  6. Step 6: Final answer
    x = 144,059.26

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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.