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Finding the Fourth Proportional to 468,942.12, 703,413.12 and 113,953.68

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Solution

The fourth proportional to 468,942.12, 703,413.12 and 113,953.68 is: 170,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,942.12 : 703,413.12 = 113,953.68 : x
  2. Step 2: Convert to fraction form
    468,942.12/703,413.12 = 113,953.68/x
  3. Step 3: Cross multiply
    468,942.12x = 703,413.12 × 113,953.68
  4. Step 4: Simplify right side
    468,942.12x = 80,156,513,584.28
  5. Step 5: Solve for x
    x = 80,156,513,584.28/468,942.12
  6. Step 6: Final answer
    x = 170,930.51

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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.