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Finding the Fourth Proportional to 226,993.50, 340,364.43 and 105,281.28

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Solution

The fourth proportional to 226,993.50, 340,364.43 and 105,281.28 is: 157,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,993.50 : 340,364.43 = 105,281.28 : x
  2. Step 2: Convert to fraction form
    226,993.50/340,364.43 = 105,281.28/x
  3. Step 3: Cross multiply
    226,993.50x = 340,364.43 × 105,281.28
  4. Step 4: Simplify right side
    226,993.50x = 35,834,002,856.87
  5. Step 5: Solve for x
    x = 35,834,002,856.87/226,993.50
  6. Step 6: Final answer
    x = 157,863.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.