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Finding the Fourth Proportional to 234,843, 324,084.15 and 127,413.51

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Solution

The fourth proportional to 234,843, 324,084.15 and 127,413.51 is: 175,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,843 : 324,084.15 = 127,413.51 : x
  2. Step 2: Convert to fraction form
    234,843/324,084.15 = 127,413.51/x
  3. Step 3: Cross multiply
    234,843x = 324,084.15 × 127,413.51
  4. Step 4: Simplify right side
    234,843x = 41,292,699,086.87
  5. Step 5: Solve for x
    x = 41,292,699,086.87/234,843
  6. Step 6: Final answer
    x = 175,831.08

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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.