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Finding the Fourth Proportional to 238,873.39, 329,781.24 and 158,409.54

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Solution

The fourth proportional to 238,873.39, 329,781.24 and 158,409.54 is: 218,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,873.39 : 329,781.24 = 158,409.54 : x
  2. Step 2: Convert to fraction form
    238,873.39/329,781.24 = 158,409.54/x
  3. Step 3: Cross multiply
    238,873.39x = 329,781.24 × 158,409.54
  4. Step 4: Simplify right side
    238,873.39x = 52,240,494,529.03
  5. Step 5: Solve for x
    x = 52,240,494,529.03/238,873.39
  6. Step 6: Final answer
    x = 218,695.33

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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.