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Finding the Fourth Proportional to 227,953.73, 341,624.91 and 177,413.78

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Solution

The fourth proportional to 227,953.73, 341,624.91 and 177,413.78 is: 265,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,953.73 : 341,624.91 = 177,413.78 : x
  2. Step 2: Convert to fraction form
    227,953.73/341,624.91 = 177,413.78/x
  3. Step 3: Cross multiply
    227,953.73x = 341,624.91 × 177,413.78
  4. Step 4: Simplify right side
    227,953.73x = 60,608,964,917.14
  5. Step 5: Solve for x
    x = 60,608,964,917.14/227,953.73
  6. Step 6: Final answer
    x = 265,882.76

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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.