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Finding the Fourth Proportional to 161,764.22, 242,647.88 and 43,435.56

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Solution

The fourth proportional to 161,764.22, 242,647.88 and 43,435.56 is: 65,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,764.22 : 242,647.88 = 43,435.56 : x
  2. Step 2: Convert to fraction form
    161,764.22/242,647.88 = 43,435.56/x
  3. Step 3: Cross multiply
    161,764.22x = 242,647.88 × 43,435.56
  4. Step 4: Simplify right side
    161,764.22x = 10,539,546,333.44
  5. Step 5: Solve for x
    x = 10,539,546,333.44/161,764.22
  6. Step 6: Final answer
    x = 65,153.76

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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.