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Finding the Fourth Proportional to 230,076.82, 344,664.42 and 150,951.16

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Solution

The fourth proportional to 230,076.82, 344,664.42 and 150,951.16 is: 226,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,076.82 : 344,664.42 = 150,951.16 : x
  2. Step 2: Convert to fraction form
    230,076.82/344,664.42 = 150,951.16/x
  3. Step 3: Cross multiply
    230,076.82x = 344,664.42 × 150,951.16
  4. Step 4: Simplify right side
    230,076.82x = 52,027,494,009.73
  5. Step 5: Solve for x
    x = 52,027,494,009.73/230,076.82
  6. Step 6: Final answer
    x = 226,130.97

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1.5x scale

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.