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Finding the Fourth Proportional to 234,104.34, 323,066.34 and 126,676.47

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Solution

The fourth proportional to 234,104.34, 323,066.34 and 126,676.47 is: 174,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,104.34 : 323,066.34 = 126,676.47 : x
  2. Step 2: Convert to fraction form
    234,104.34/323,066.34 = 126,676.47/x
  3. Step 3: Cross multiply
    234,104.34x = 323,066.34 × 126,676.47
  4. Step 4: Simplify right side
    234,104.34x = 40,924,903,527.02
  5. Step 5: Solve for x
    x = 40,924,903,527.02/234,104.34
  6. Step 6: Final answer
    x = 174,814.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.