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Finding the Fourth Proportional to 132,051.40, 198,086.22 and 53,165.80

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Solution

The fourth proportional to 132,051.40, 198,086.22 and 53,165.80 is: 79,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051.40 : 198,086.22 = 53,165.80 : x
  2. Step 2: Convert to fraction form
    132,051.40/198,086.22 = 53,165.80/x
  3. Step 3: Cross multiply
    132,051.40x = 198,086.22 × 53,165.80
  4. Step 4: Simplify right side
    132,051.40x = 10,531,412,355.28
  5. Step 5: Solve for x
    x = 10,531,412,355.28/132,051.40
  6. Step 6: Final answer
    x = 79,752.37

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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.