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Finding the Fourth Proportional to 309,789.45, 464,413.50 and 120,119.13

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Solution

The fourth proportional to 309,789.45, 464,413.50 and 120,119.13 is: 180,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,789.45 : 464,413.50 = 120,119.13 : x
  2. Step 2: Convert to fraction form
    309,789.45/464,413.50 = 120,119.13/x
  3. Step 3: Cross multiply
    309,789.45x = 464,413.50 × 120,119.13
  4. Step 4: Simplify right side
    309,789.45x = 55,784,945,580.26
  5. Step 5: Solve for x
    x = 55,784,945,580.26/309,789.45
  6. Step 6: Final answer
    x = 180,073.74

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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.