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Finding the Fourth Proportional to 177,072.30, 265,608.45 and 52,413.30

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Solution

The fourth proportional to 177,072.30, 265,608.45 and 52,413.30 is: 78,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,072.30 : 265,608.45 = 52,413.30 : x
  2. Step 2: Convert to fraction form
    177,072.30/265,608.45 = 52,413.30/x
  3. Step 3: Cross multiply
    177,072.30x = 265,608.45 × 52,413.30
  4. Step 4: Simplify right side
    177,072.30x = 13,921,415,372.39
  5. Step 5: Solve for x
    x = 13,921,415,372.39/177,072.30
  6. Step 6: Final answer
    x = 78,619.95

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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.