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Finding the Fourth Proportional to 113,892.53, 170,741.57 and 80,507.57

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Solution

The fourth proportional to 113,892.53, 170,741.57 and 80,507.57 is: 120,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,892.53 : 170,741.57 = 80,507.57 : x
  2. Step 2: Convert to fraction form
    113,892.53/170,741.57 = 80,507.57/x
  3. Step 3: Cross multiply
    113,892.53x = 170,741.57 × 80,507.57
  4. Step 4: Simplify right side
    113,892.53x = 13,745,987,642.44
  5. Step 5: Solve for x
    x = 13,745,987,642.44/113,892.53
  6. Step 6: Final answer
    x = 120,692.62

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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.