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Finding the Fourth Proportional to 219,413.40, 329,120.06 and 53,201.40

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Solution

The fourth proportional to 219,413.40, 329,120.06 and 53,201.40 is: 79,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,413.40 : 329,120.06 = 53,201.40 : x
  2. Step 2: Convert to fraction form
    219,413.40/329,120.06 = 53,201.40/x
  3. Step 3: Cross multiply
    219,413.40x = 329,120.06 × 53,201.40
  4. Step 4: Simplify right side
    219,413.40x = 17,509,647,960.08
  5. Step 5: Solve for x
    x = 17,509,647,960.08/219,413.40
  6. Step 6: Final answer
    x = 79,802.09

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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.