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Finding the Fourth Proportional to 132,357.70, 198,536.55 and 53,431.30

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Solution

The fourth proportional to 132,357.70, 198,536.55 and 53,431.30 is: 80,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,357.70 : 198,536.55 = 53,431.30 : x
  2. Step 2: Convert to fraction form
    132,357.70/198,536.55 = 53,431.30/x
  3. Step 3: Cross multiply
    132,357.70x = 198,536.55 × 53,431.30
  4. Step 4: Simplify right side
    132,357.70x = 10,608,065,964.02
  5. Step 5: Solve for x
    x = 10,608,065,964.02/132,357.70
  6. Step 6: Final answer
    x = 80,146.95

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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.