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Finding the Fourth Proportional to 190,713.38, 263,185.49 and 105,830.45

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Solution

The fourth proportional to 190,713.38, 263,185.49 and 105,830.45 is: 146,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,713.38 : 263,185.49 = 105,830.45 : x
  2. Step 2: Convert to fraction form
    190,713.38/263,185.49 = 105,830.45/x
  3. Step 3: Cross multiply
    190,713.38x = 263,185.49 × 105,830.45
  4. Step 4: Simplify right side
    190,713.38x = 27,853,036,995.09
  5. Step 5: Solve for x
    x = 27,853,036,995.09/190,713.38
  6. Step 6: Final answer
    x = 146,046.58

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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.