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Finding the Fourth Proportional to 164,413.13, 226,890.32 and 88,961.63

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Solution

The fourth proportional to 164,413.13, 226,890.32 and 88,961.63 is: 122,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,413.13 : 226,890.32 = 88,961.63 : x
  2. Step 2: Convert to fraction form
    164,413.13/226,890.32 = 88,961.63/x
  3. Step 3: Cross multiply
    164,413.13x = 226,890.32 × 88,961.63
  4. Step 4: Simplify right side
    164,413.13x = 20,184,531,119.16
  5. Step 5: Solve for x
    x = 20,184,531,119.16/164,413.13
  6. Step 6: Final answer
    x = 122,767.15

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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.