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Finding the Fourth Proportional to 234,416.34, 323,493.26 and 126,988.47

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Solution

The fourth proportional to 234,416.34, 323,493.26 and 126,988.47 is: 175,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,416.34 : 323,493.26 = 126,988.47 : x
  2. Step 2: Convert to fraction form
    234,416.34/323,493.26 = 126,988.47/x
  3. Step 3: Cross multiply
    234,416.34x = 323,493.26 × 126,988.47
  4. Step 4: Simplify right side
    234,416.34x = 41,079,913,507.77
  5. Step 5: Solve for x
    x = 41,079,913,507.77/234,416.34
  6. Step 6: Final answer
    x = 175,243.39

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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.