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Finding the Fourth Proportional to 164,413.98, 226,892.07 and 92,797.02

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Solution

The fourth proportional to 164,413.98, 226,892.07 and 92,797.02 is: 128,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,413.98 : 226,892.07 = 92,797.02 : x
  2. Step 2: Convert to fraction form
    164,413.98/226,892.07 = 92,797.02/x
  3. Step 3: Cross multiply
    164,413.98x = 226,892.07 × 92,797.02
  4. Step 4: Simplify right side
    164,413.98x = 21,054,907,957.63
  5. Step 5: Solve for x
    x = 21,054,907,957.63/164,413.98
  6. Step 6: Final answer
    x = 128,060.33

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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.