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Finding the Fourth Proportional to 114,716.70, 158,441.49 and 76,413.15

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Solution

The fourth proportional to 114,716.70, 158,441.49 and 76,413.15 is: 105,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,716.70 : 158,441.49 = 76,413.15 : x
  2. Step 2: Convert to fraction form
    114,716.70/158,441.49 = 76,413.15/x
  3. Step 3: Cross multiply
    114,716.70x = 158,441.49 × 76,413.15
  4. Step 4: Simplify right side
    114,716.70x = 12,107,013,341.59
  5. Step 5: Solve for x
    x = 12,107,013,341.59/114,716.70
  6. Step 6: Final answer
    x = 105,538.37

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1.5x scale

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.