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Finding the Fourth Proportional to 132,971.31, 199,453.32 and 44,226.50

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Solution

The fourth proportional to 132,971.31, 199,453.32 and 44,226.50 is: 66,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,971.31 : 199,453.32 = 44,226.50 : x
  2. Step 2: Convert to fraction form
    132,971.31/199,453.32 = 44,226.50/x
  3. Step 3: Cross multiply
    132,971.31x = 199,453.32 × 44,226.50
  4. Step 4: Simplify right side
    132,971.31x = 8,821,121,259.71
  5. Step 5: Solve for x
    x = 8,821,121,259.71/132,971.31
  6. Step 6: Final answer
    x = 66,338.53

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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.