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Finding the Fourth Proportional to 106,714.08, 160,117.56 and 50,593.50

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Solution

The fourth proportional to 106,714.08, 160,117.56 and 50,593.50 is: 75,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,714.08 : 160,117.56 = 50,593.50 : x
  2. Step 2: Convert to fraction form
    106,714.08/160,117.56 = 50,593.50/x
  3. Step 3: Cross multiply
    106,714.08x = 160,117.56 × 50,593.50
  4. Step 4: Simplify right side
    106,714.08x = 8,100,907,771.86
  5. Step 5: Solve for x
    x = 8,100,907,771.86/106,714.08
  6. Step 6: Final answer
    x = 75,912.27

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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.