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Finding the Fourth Proportional to 238,874.14, 329,782.28 and 158,410.29

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Solution

The fourth proportional to 238,874.14, 329,782.28 and 158,410.29 is: 218,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,874.14 : 329,782.28 = 158,410.29 : x
  2. Step 2: Convert to fraction form
    238,874.14/329,782.28 = 158,410.29/x
  3. Step 3: Cross multiply
    238,874.14x = 329,782.28 × 158,410.29
  4. Step 4: Simplify right side
    238,874.14x = 52,240,905,819.61
  5. Step 5: Solve for x
    x = 52,240,905,819.61/238,874.14
  6. Step 6: Final answer
    x = 218,696.37

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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.