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Finding the Fourth Proportional to 164,067.12, 226,413.28 and 92,448.24

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Solution

The fourth proportional to 164,067.12, 226,413.28 and 92,448.24 is: 127,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,067.12 : 226,413.28 = 92,448.24 : x
  2. Step 2: Convert to fraction form
    164,067.12/226,413.28 = 92,448.24/x
  3. Step 3: Cross multiply
    164,067.12x = 226,413.28 × 92,448.24
  4. Step 4: Simplify right side
    164,067.12x = 20,931,509,248.63
  5. Step 5: Solve for x
    x = 20,931,509,248.63/164,067.12
  6. Step 6: Final answer
    x = 127,578.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.