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Finding the Fourth Proportional to 142,536.50, 213,741.57 and 75,964.22

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Solution

The fourth proportional to 142,536.50, 213,741.57 and 75,964.22 is: 113,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,536.50 : 213,741.57 = 75,964.22 : x
  2. Step 2: Convert to fraction form
    142,536.50/213,741.57 = 75,964.22/x
  3. Step 3: Cross multiply
    142,536.50x = 213,741.57 × 75,964.22
  4. Step 4: Simplify right side
    142,536.50x = 16,236,712,180.98
  5. Step 5: Solve for x
    x = 16,236,712,180.98/142,536.50
  6. Step 6: Final answer
    x = 113,912.66

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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.