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Finding the Fourth Proportional to 195,954.98, 293,956.78 and 55,724.54

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Solution

The fourth proportional to 195,954.98, 293,956.78 and 55,724.54 is: 83,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,954.98 : 293,956.78 = 55,724.54 : x
  2. Step 2: Convert to fraction form
    195,954.98/293,956.78 = 55,724.54/x
  3. Step 3: Cross multiply
    195,954.98x = 293,956.78 × 55,724.54
  4. Step 4: Simplify right side
    195,954.98x = 16,380,606,345.38
  5. Step 5: Solve for x
    x = 16,380,606,345.38/195,954.98
  6. Step 6: Final answer
    x = 83,593.72

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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.