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Finding the Fourth Proportional to 234,212.94, 323,213.90 and 126,783.86

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Solution

The fourth proportional to 234,212.94, 323,213.90 and 126,783.86 is: 174,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,212.94 : 323,213.90 = 126,783.86 : x
  2. Step 2: Convert to fraction form
    234,212.94/323,213.90 = 126,783.86/x
  3. Step 3: Cross multiply
    234,212.94x = 323,213.90 × 126,783.86
  4. Step 4: Simplify right side
    234,212.94x = 40,978,303,597.67
  5. Step 5: Solve for x
    x = 40,978,303,597.67/234,212.94
  6. Step 6: Final answer
    x = 174,961.74

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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.