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Finding the Fourth Proportional to 205,413.60, 308,163.60 and 116,594.40

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Solution

The fourth proportional to 205,413.60, 308,163.60 and 116,594.40 is: 174,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,413.60 : 308,163.60 = 116,594.40 : x
  2. Step 2: Convert to fraction form
    205,413.60/308,163.60 = 116,594.40/x
  3. Step 3: Cross multiply
    205,413.60x = 308,163.60 × 116,594.40
  4. Step 4: Simplify right side
    205,413.60x = 35,930,150,043.84
  5. Step 5: Solve for x
    x = 35,930,150,043.84/205,413.60
  6. Step 6: Final answer
    x = 174,916.12

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Why These Related Problems?

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