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Finding the Fourth Proportional to 119,097.14, 178,413.50 and 66,347.78

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Solution

The fourth proportional to 119,097.14, 178,413.50 and 66,347.78 is: 99,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,097.14 : 178,413.50 = 66,347.78 : x
  2. Step 2: Convert to fraction form
    119,097.14/178,413.50 = 66,347.78/x
  3. Step 3: Cross multiply
    119,097.14x = 178,413.50 × 66,347.78
  4. Step 4: Simplify right side
    119,097.14x = 11,837,339,647.03
  5. Step 5: Solve for x
    x = 11,837,339,647.03/119,097.14
  6. Step 6: Final answer
    x = 99,392.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.