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Finding the Fourth Proportional to 114,716.69, 158,441.49 and 76,413.14

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Solution

The fourth proportional to 114,716.69, 158,441.49 and 76,413.14 is: 105,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,716.69 : 158,441.49 = 76,413.14 : x
  2. Step 2: Convert to fraction form
    114,716.69/158,441.49 = 76,413.14/x
  3. Step 3: Cross multiply
    114,716.69x = 158,441.49 × 76,413.14
  4. Step 4: Simplify right side
    114,716.69x = 12,107,011,757.18
  5. Step 5: Solve for x
    x = 12,107,011,757.18/114,716.69
  6. Step 6: Final answer
    x = 105,538.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.