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Finding the Fourth Proportional to 204,658.25, 282,447.49 and 119,775.38

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Solution

The fourth proportional to 204,658.25, 282,447.49 and 119,775.38 is: 165,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,658.25 : 282,447.49 = 119,775.38 : x
  2. Step 2: Convert to fraction form
    204,658.25/282,447.49 = 119,775.38/x
  3. Step 3: Cross multiply
    204,658.25x = 282,447.49 × 119,775.38
  4. Step 4: Simplify right side
    204,658.25x = 33,830,255,444.80
  5. Step 5: Solve for x
    x = 33,830,255,444.80/204,658.25
  6. Step 6: Final answer
    x = 165,301.21

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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.