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Finding the Fourth Proportional to 106,046.88, 146,286.80 and 65,188.80

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Solution

The fourth proportional to 106,046.88, 146,286.80 and 65,188.80 is: 89,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,046.88 : 146,286.80 = 65,188.80 : x
  2. Step 2: Convert to fraction form
    106,046.88/146,286.80 = 65,188.80/x
  3. Step 3: Cross multiply
    106,046.88x = 146,286.80 × 65,188.80
  4. Step 4: Simplify right side
    106,046.88x = 9,536,260,947.84
  5. Step 5: Solve for x
    x = 9,536,260,947.84/106,046.88
  6. Step 6: Final answer
    x = 89,924.96

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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.