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Finding the Fourth Proportional to 132,384.62, 198,675.30 and 53,499.54

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Solution

The fourth proportional to 132,384.62, 198,675.30 and 53,499.54 is: 80,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384.62 : 198,675.30 = 53,499.54 : x
  2. Step 2: Convert to fraction form
    132,384.62/198,675.30 = 53,499.54/x
  3. Step 3: Cross multiply
    132,384.62x = 198,675.30 × 53,499.54
  4. Step 4: Simplify right side
    132,384.62x = 10,629,037,159.36
  5. Step 5: Solve for x
    x = 10,629,037,159.36/132,384.62
  6. Step 6: Final answer
    x = 80,289.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.