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Finding the Fourth Proportional to 200,934.36, 301,403.84 and 51,174.44

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Solution

The fourth proportional to 200,934.36, 301,403.84 and 51,174.44 is: 76,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934.36 : 301,403.84 = 51,174.44 : x
  2. Step 2: Convert to fraction form
    200,934.36/301,403.84 = 51,174.44/x
  3. Step 3: Cross multiply
    200,934.36x = 301,403.84 × 51,174.44
  4. Step 4: Simplify right side
    200,934.36x = 15,424,172,725.85
  5. Step 5: Solve for x
    x = 15,424,172,725.85/200,934.36
  6. Step 6: Final answer
    x = 76,762.25

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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.