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Finding the Fourth Proportional to 233,671.77, 322,467.14 and 126,241.61

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Solution

The fourth proportional to 233,671.77, 322,467.14 and 126,241.61 is: 174,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,671.77 : 322,467.14 = 126,241.61 : x
  2. Step 2: Convert to fraction form
    233,671.77/322,467.14 = 126,241.61/x
  3. Step 3: Cross multiply
    233,671.77x = 322,467.14 × 126,241.61
  4. Step 4: Simplify right side
    233,671.77x = 40,708,769,628.96
  5. Step 5: Solve for x
    x = 40,708,769,628.96/233,671.77
  6. Step 6: Final answer
    x = 174,213.47

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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.