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Finding the Fourth Proportional to 108,034.10, 161,723.10 and 96,224.30

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Solution

The fourth proportional to 108,034.10, 161,723.10 and 96,224.30 is: 144,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,034.10 : 161,723.10 = 96,224.30 : x
  2. Step 2: Convert to fraction form
    108,034.10/161,723.10 = 96,224.30/x
  3. Step 3: Cross multiply
    108,034.10x = 161,723.10 × 96,224.30
  4. Step 4: Simplify right side
    108,034.10x = 15,561,692,091.33
  5. Step 5: Solve for x
    x = 15,561,692,091.33/108,034.10
  6. Step 6: Final answer
    x = 144,044.26

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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.