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Finding the Fourth Proportional to 238,659.41, 329,268.04 and 147,982.75

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Solution

The fourth proportional to 238,659.41, 329,268.04 and 147,982.75 is: 204,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,659.41 : 329,268.04 = 147,982.75 : x
  2. Step 2: Convert to fraction form
    238,659.41/329,268.04 = 147,982.75/x
  3. Step 3: Cross multiply
    238,659.41x = 329,268.04 × 147,982.75
  4. Step 4: Simplify right side
    238,659.41x = 48,725,988,853.18
  5. Step 5: Solve for x
    x = 48,725,988,853.18/238,659.41
  6. Step 6: Final answer
    x = 204,165.38

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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.