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Finding the Fourth Proportional to 274,636.25, 412,013.19 and 85,092.42

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Solution

The fourth proportional to 274,636.25, 412,013.19 and 85,092.42 is: 127,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,636.25 : 412,013.19 = 85,092.42 : x
  2. Step 2: Convert to fraction form
    274,636.25/412,013.19 = 85,092.42/x
  3. Step 3: Cross multiply
    274,636.25x = 412,013.19 × 85,092.42
  4. Step 4: Simplify right side
    274,636.25x = 35,059,199,409.02
  5. Step 5: Solve for x
    x = 35,059,199,409.02/274,636.25
  6. Step 6: Final answer
    x = 127,656.85

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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.