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Finding the Fourth Proportional to 110,644.35, 165,990.92 and 65,706.56

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Solution

The fourth proportional to 110,644.35, 165,990.92 and 65,706.56 is: 98,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,644.35 : 165,990.92 = 65,706.56 : x
  2. Step 2: Convert to fraction form
    110,644.35/165,990.92 = 65,706.56/x
  3. Step 3: Cross multiply
    110,644.35x = 165,990.92 × 65,706.56
  4. Step 4: Simplify right side
    110,644.35x = 10,906,691,808.41
  5. Step 5: Solve for x
    x = 10,906,691,808.41/110,644.35
  6. Step 6: Final answer
    x = 98,574.33

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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.