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Finding the Fourth Proportional to 256,348.64, 353,936.04 and 165,923.48

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Solution

The fourth proportional to 256,348.64, 353,936.04 and 165,923.48 is: 229,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,348.64 : 353,936.04 = 165,923.48 : x
  2. Step 2: Convert to fraction form
    256,348.64/353,936.04 = 165,923.48/x
  3. Step 3: Cross multiply
    256,348.64x = 353,936.04 × 165,923.48
  4. Step 4: Simplify right side
    256,348.64x = 58,726,299,454.22
  5. Step 5: Solve for x
    x = 58,726,299,454.22/256,348.64
  6. Step 6: Final answer
    x = 229,087.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.