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Finding the Fourth Proportional to 195,842.92, 293,763.78 and 55,601.64

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Solution

The fourth proportional to 195,842.92, 293,763.78 and 55,601.64 is: 83,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,842.92 : 293,763.78 = 55,601.64 : x
  2. Step 2: Convert to fraction form
    195,842.92/293,763.78 = 55,601.64/x
  3. Step 3: Cross multiply
    195,842.92x = 293,763.78 × 55,601.64
  4. Step 4: Simplify right side
    195,842.92x = 16,333,747,940.60
  5. Step 5: Solve for x
    x = 16,333,747,940.60/195,842.92
  6. Step 6: Final answer
    x = 83,402.29

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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.