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Finding the Fourth Proportional to 114,112.80, 170,344.62 and 100,116

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Solution

The fourth proportional to 114,112.80, 170,344.62 and 100,116 is: 149,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,112.80 : 170,344.62 = 100,116 : x
  2. Step 2: Convert to fraction form
    114,112.80/170,344.62 = 100,116/x
  3. Step 3: Cross multiply
    114,112.80x = 170,344.62 × 100,116
  4. Step 4: Simplify right side
    114,112.80x = 17,054,221,975.92
  5. Step 5: Solve for x
    x = 17,054,221,975.92/114,112.80
  6. Step 6: Final answer
    x = 149,450.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.