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Finding the Fourth Proportional to 136,093.78, 204,174.14 and 47,348.04

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Solution

The fourth proportional to 136,093.78, 204,174.14 and 47,348.04 is: 71,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,093.78 : 204,174.14 = 47,348.04 : x
  2. Step 2: Convert to fraction form
    136,093.78/204,174.14 = 47,348.04/x
  3. Step 3: Cross multiply
    136,093.78x = 204,174.14 × 47,348.04
  4. Step 4: Simplify right side
    136,093.78x = 9,667,245,347.69
  5. Step 5: Solve for x
    x = 9,667,245,347.69/136,093.78
  6. Step 6: Final answer
    x = 71,033.70

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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.