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Finding the Fourth Proportional to 159,940.73, 220,767.07 and 98,705.64

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Solution

The fourth proportional to 159,940.73, 220,767.07 and 98,705.64 is: 136,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,940.73 : 220,767.07 = 98,705.64 : x
  2. Step 2: Convert to fraction form
    159,940.73/220,767.07 = 98,705.64/x
  3. Step 3: Cross multiply
    159,940.73x = 220,767.07 × 98,705.64
  4. Step 4: Simplify right side
    159,940.73x = 21,790,954,459.65
  5. Step 5: Solve for x
    x = 21,790,954,459.65/159,940.73
  6. Step 6: Final answer
    x = 136,243.94

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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.