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Finding the Fourth Proportional to 110,714.88, 152,734.70 and 65,361.97

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Solution

The fourth proportional to 110,714.88, 152,734.70 and 65,361.97 is: 90,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,714.88 : 152,734.70 = 65,361.97 : x
  2. Step 2: Convert to fraction form
    110,714.88/152,734.70 = 65,361.97/x
  3. Step 3: Cross multiply
    110,714.88x = 152,734.70 × 65,361.97
  4. Step 4: Simplify right side
    110,714.88x = 9,983,040,660.93
  5. Step 5: Solve for x
    x = 9,983,040,660.93/110,714.88
  6. Step 6: Final answer
    x = 90,168.92

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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.