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Finding the Fourth Proportional to 232,142.63, 347,765.54 and 171,245.61

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Solution

The fourth proportional to 232,142.63, 347,765.54 and 171,245.61 is: 256,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,142.63 : 347,765.54 = 171,245.61 : x
  2. Step 2: Convert to fraction form
    232,142.63/347,765.54 = 171,245.61/x
  3. Step 3: Cross multiply
    232,142.63x = 347,765.54 × 171,245.61
  4. Step 4: Simplify right side
    232,142.63x = 59,553,321,178.05
  5. Step 5: Solve for x
    x = 59,553,321,178.05/232,142.63
  6. Step 6: Final answer
    x = 256,537.64

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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.