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Finding the Fourth Proportional to 252,843.41, 348,934.52 and 145,413.53

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Solution

The fourth proportional to 252,843.41, 348,934.52 and 145,413.53 is: 200,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,843.41 : 348,934.52 = 145,413.53 : x
  2. Step 2: Convert to fraction form
    252,843.41/348,934.52 = 145,413.53/x
  3. Step 3: Cross multiply
    252,843.41x = 348,934.52 × 145,413.53
  4. Step 4: Simplify right side
    252,843.41x = 50,739,800,292.06
  5. Step 5: Solve for x
    x = 50,739,800,292.06/252,843.41
  6. Step 6: Final answer
    x = 200,676.78

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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.