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Finding the Fourth Proportional to 106,817.07, 160,171.50 and 35,714.43

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Solution

The fourth proportional to 106,817.07, 160,171.50 and 35,714.43 is: 53,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,817.07 : 160,171.50 = 35,714.43 : x
  2. Step 2: Convert to fraction form
    106,817.07/160,171.50 = 35,714.43/x
  3. Step 3: Cross multiply
    106,817.07x = 160,171.50 × 35,714.43
  4. Step 4: Simplify right side
    106,817.07x = 5,720,433,824.75
  5. Step 5: Solve for x
    x = 5,720,433,824.75/106,817.07
  6. Step 6: Final answer
    x = 53,553.55

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