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Finding the Fourth Proportional to 238,896.92, 358,378.32 and 81,083

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Solution

The fourth proportional to 238,896.92, 358,378.32 and 81,083 is: 121,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,896.92 : 358,378.32 = 81,083 : x
  2. Step 2: Convert to fraction form
    238,896.92/358,378.32 = 81,083/x
  3. Step 3: Cross multiply
    238,896.92x = 358,378.32 × 81,083
  4. Step 4: Simplify right side
    238,896.92x = 29,058,389,320.56
  5. Step 5: Solve for x
    x = 29,058,389,320.56/238,896.92
  6. Step 6: Final answer
    x = 121,635.68

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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.