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Finding the Fourth Proportional to 204,633.54, 282,390.03 and 113,989.38

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Solution

The fourth proportional to 204,633.54, 282,390.03 and 113,989.38 is: 157,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,633.54 : 282,390.03 = 113,989.38 : x
  2. Step 2: Convert to fraction form
    204,633.54/282,390.03 = 113,989.38/x
  3. Step 3: Cross multiply
    204,633.54x = 282,390.03 × 113,989.38
  4. Step 4: Simplify right side
    204,633.54x = 32,189,464,437.88
  5. Step 5: Solve for x
    x = 32,189,464,437.88/204,633.54
  6. Step 6: Final answer
    x = 157,302.97

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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.