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Finding the Fourth Proportional to 106,429.32, 146,747.70 and 79,524.36

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Solution

The fourth proportional to 106,429.32, 146,747.70 and 79,524.36 is: 109,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,429.32 : 146,747.70 = 79,524.36 : x
  2. Step 2: Convert to fraction form
    106,429.32/146,747.70 = 79,524.36/x
  3. Step 3: Cross multiply
    106,429.32x = 146,747.70 × 79,524.36
  4. Step 4: Simplify right side
    106,429.32x = 11,670,016,923.97
  5. Step 5: Solve for x
    x = 11,670,016,923.97/106,429.32
  6. Step 6: Final answer
    x = 109,650.39

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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.