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Finding the Fourth Proportional to 132,996, 199,531.50 and 54,166.80

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Solution

The fourth proportional to 132,996, 199,531.50 and 54,166.80 is: 81,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,996 : 199,531.50 = 54,166.80 : x
  2. Step 2: Convert to fraction form
    132,996/199,531.50 = 54,166.80/x
  3. Step 3: Cross multiply
    132,996x = 199,531.50 × 54,166.80
  4. Step 4: Simplify right side
    132,996x = 10,807,982,854.20
  5. Step 5: Solve for x
    x = 10,807,982,854.20/132,996
  6. Step 6: Final answer
    x = 81,265.47

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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.