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Finding the Fourth Proportional to 132,357.36, 198,542.52 and 53,461.80

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Solution

The fourth proportional to 132,357.36, 198,542.52 and 53,461.80 is: 80,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,357.36 : 198,542.52 = 53,461.80 : x
  2. Step 2: Convert to fraction form
    132,357.36/198,542.52 = 53,461.80/x
  3. Step 3: Cross multiply
    132,357.36x = 198,542.52 × 53,461.80
  4. Step 4: Simplify right side
    132,357.36x = 10,614,440,495.74
  5. Step 5: Solve for x
    x = 10,614,440,495.74/132,357.36
  6. Step 6: Final answer
    x = 80,195.32

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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.