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Finding the Fourth Proportional to 119,413.14, 164,813.70 and 68,460.09

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Solution

The fourth proportional to 119,413.14, 164,813.70 and 68,460.09 is: 94,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,413.14 : 164,813.70 = 68,460.09 : x
  2. Step 2: Convert to fraction form
    119,413.14/164,813.70 = 68,460.09/x
  3. Step 3: Cross multiply
    119,413.14x = 164,813.70 × 68,460.09
  4. Step 4: Simplify right side
    119,413.14x = 11,283,160,735.23
  5. Step 5: Solve for x
    x = 11,283,160,735.23/119,413.14
  6. Step 6: Final answer
    x = 94,488.44

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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.