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Finding the Fourth Proportional to 362,146.20, 543,413.70 and 151,805.40

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Solution

The fourth proportional to 362,146.20, 543,413.70 and 151,805.40 is: 227,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,146.20 : 543,413.70 = 151,805.40 : x
  2. Step 2: Convert to fraction form
    362,146.20/543,413.70 = 151,805.40/x
  3. Step 3: Cross multiply
    362,146.20x = 543,413.70 × 151,805.40
  4. Step 4: Simplify right side
    362,146.20x = 82,493,134,093.98
  5. Step 5: Solve for x
    x = 82,493,134,093.98/362,146.20
  6. Step 6: Final answer
    x = 227,789.59

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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.