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Finding the Fourth Proportional to 147,991.92, 204,231.07 and 84,328.35

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Solution

The fourth proportional to 147,991.92, 204,231.07 and 84,328.35 is: 116,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,991.92 : 204,231.07 = 84,328.35 : x
  2. Step 2: Convert to fraction form
    147,991.92/204,231.07 = 84,328.35/x
  3. Step 3: Cross multiply
    147,991.92x = 204,231.07 × 84,328.35
  4. Step 4: Simplify right side
    147,991.92x = 17,222,469,151.83
  5. Step 5: Solve for x
    x = 17,222,469,151.83/147,991.92
  6. Step 6: Final answer
    x = 116,374.39

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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.