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Finding the Fourth Proportional to 132,049.12, 182,227.50 and 71,619.45

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Solution

The fourth proportional to 132,049.12, 182,227.50 and 71,619.45 is: 98,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,049.12 : 182,227.50 = 71,619.45 : x
  2. Step 2: Convert to fraction form
    132,049.12/182,227.50 = 71,619.45/x
  3. Step 3: Cross multiply
    132,049.12x = 182,227.50 × 71,619.45
  4. Step 4: Simplify right side
    132,049.12x = 13,051,033,324.88
  5. Step 5: Solve for x
    x = 13,051,033,324.88/132,049.12
  6. Step 6: Final answer
    x = 98,834.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.