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Finding the Fourth Proportional to 190,894.24, 263,442 and 106,012

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Solution

The fourth proportional to 190,894.24, 263,442 and 106,012 is: 146,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,894.24 : 263,442 = 106,012 : x
  2. Step 2: Convert to fraction form
    190,894.24/263,442 = 106,012/x
  3. Step 3: Cross multiply
    190,894.24x = 263,442 × 106,012
  4. Step 4: Simplify right side
    190,894.24x = 27,928,013,304
  5. Step 5: Solve for x
    x = 27,928,013,304/190,894.24
  6. Step 6: Final answer
    x = 146,300.97

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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.