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Finding the Fourth Proportional to 171,413.40, 257,285.94 and 82,729.32

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Solution

The fourth proportional to 171,413.40, 257,285.94 and 82,729.32 is: 124,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,413.40 : 257,285.94 = 82,729.32 : x
  2. Step 2: Convert to fraction form
    171,413.40/257,285.94 = 82,729.32/x
  3. Step 3: Cross multiply
    171,413.40x = 257,285.94 × 82,729.32
  4. Step 4: Simplify right side
    171,413.40x = 21,285,090,861.76
  5. Step 5: Solve for x
    x = 21,285,090,861.76/171,413.40
  6. Step 6: Final answer
    x = 124,174.02

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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.