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Finding the Fourth Proportional to 204,903.68, 282,794.82 and 120,054.56

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Solution

The fourth proportional to 204,903.68, 282,794.82 and 120,054.56 is: 165,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,903.68 : 282,794.82 = 120,054.56 : x
  2. Step 2: Convert to fraction form
    204,903.68/282,794.82 = 120,054.56/x
  3. Step 3: Cross multiply
    204,903.68x = 282,794.82 × 120,054.56
  4. Step 4: Simplify right side
    204,903.68x = 33,950,807,685.38
  5. Step 5: Solve for x
    x = 33,950,807,685.38/204,903.68
  6. Step 6: Final answer
    x = 165,691.55

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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.